Main:z from
Time bar (total: 26.1s)
| 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)
| 3.8s | 7 524× | 1 | valid |
| 3.1s | 15 750× | 0 | invalid |
| 127.0ms | 732× | 0 | valid |
ival-sqrt: 2.5s (42.6% of total)ival-add: 1.9s (33.6% of total)ival-sub: 691.0ms (11.9% of total)adjust: 637.0ms (11% of total)ival-true: 21.0ms (0.4% of total)exact: 15.0ms (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 |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (sqrt.f64 z) |
| 256 | 0 | - | 14 | (2.0474892662860203e-200 1.7761178227380518e-197 7.011781030468184e-195 1.5546817712289432e-149) | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (+.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))) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (sqrt.f64 t) |
| 256 | 0 | - | 171 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (+.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))) |
| 256 | 0 | - | 69 | (4.52831179267079e-296 1.7771279174342007e-153 5.260956164963213e-56 1.7175417615822075e+186) | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (sqrt.f64 y) |
| 256 | 0 | - | 243 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (sqrt.f64 x) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (+.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))) |
| 256 | 0 | - | 256 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 247 | 0 | - | 247 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (+.f64 t #s(literal 1 binary64)) |
| 202 | 0 | - | 202 | (1.706281827287397e-261 6.308601484648427e-50 1.5845470560160987e+143 1.0592209024846067e+204) | (+.f64 z #s(literal 1 binary64)) |
| 99 | 0 | - | 99 | (9.294380203928684e-238 1.12743896157618e+58 9.253296060443094e+146 5.495246293867023e+220) | (+.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 (+.f64 z #s(literal 1 binary64))) |
| 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 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | cancellation | 41 | 1 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | cancellation | 34 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | cancellation | 14 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 13 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 44 | 0 |
| - | 41 | 171 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 44 | 0 | 0 |
| - | 41 | 1 | 170 |
| number | freq |
|---|---|
| 0 | 171 |
| 1 | 72 |
| 2 | 10 |
| 3 | 2 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 204.0ms | 480× | 1 | valid |
| 5.0ms | 32× | 0 | valid |
Compiled 492 to 124 computations (74.8% saved)
ival-sqrt: 56.0ms (35.5% of total)ival-add: 49.0ms (31.1% of total)adjust: 35.0ms (22.2% of total)ival-sub: 16.0ms (10.2% of total)ival-true: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.7% | (+.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 | 4.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 4.7% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 97.0ms | 240× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 282 to 50 computations (82.3% saved)
ival-sqrt: 26.0ms (34.6% of total)adjust: 26.0ms (34.6% of total)ival-add: 14.0ms (18.6% of total)ival-sub: 8.0ms (10.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<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> |
#<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 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))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | z | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (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 | 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 | z | @ | inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
Compiled 1 014 to 673 computations (33.6% saved)
| 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 | 101 |
| 0 | 43 | 101 |
| 1 | 208 | 101 |
| 2 | 2164 | 101 |
| 0 | 9211 | 101 |
| 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)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.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)))) |
(+.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 (-.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 (-.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.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 (-.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 (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 x #s(literal 1 binary64))) (-.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.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 (-.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)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (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 (+.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 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 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 (-.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 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 (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 z)) |
(-.f64 (/.f64 (pow.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 2 binary64)) (+.f64 t (*.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t))))) (/.f64 (*.f64 t (sqrt.f64 t)) (+.f64 (pow.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 2 binary64)) (+.f64 t (*.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t)))))) |
(-.f64 (/.f64 (*.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 x #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 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 (+.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 (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 (*.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) 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))))) (/.f64 (*.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 (-.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)))))) |
(-.f64 (/.f64 (pow.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 2 binary64)) (+.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t))) (/.f64 t (+.f64 (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t)))) |
(fma.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))) (pow.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))) #s(literal 3 binary64))) (/.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 (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 (-.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 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))) |
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (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 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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)))) |
(fma.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 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 x (+.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 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.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)))) |
(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 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) 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))))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (neg.f64 (*.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 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)))) |
(fma.f64 (*.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 (+.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) z)) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.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) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
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(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.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 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) (/.f64 (*.f64 y (sqrt.f64 y)) (+.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) (+.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)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))) (/.f64 y (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))) |
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) |
(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))) |
(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 (sqrt.f64 (fma.f64 y y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 y))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.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) (/.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 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.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 #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 |
| 8 390× | lower-+.f64 |
| 8 390× | lower-+.f32 |
| 5 942× | lower-fma.f64 |
| 5 942× | lower-fma.f32 |
| 5 286× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 585 | 4374 |
| 1 | 1851 | 4079 |
| 2 | 6654 | 4076 |
| 0 | 8589 | 3852 |
| 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)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt 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))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt 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)))) |
(- (+ (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)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt 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)))) |
(- (+ (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)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt 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))))) |
(- (+ 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))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt 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)))) |
(- (+ (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)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt 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)))) |
(- (+ (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)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt 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))))) |
(- (+ 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))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (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)))) |
(- (+ (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)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (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)))) |
(- (+ (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)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 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))))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (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)))) |
(- (+ (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)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (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)))) |
(- (+ (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)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (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)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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 (/ (+ (* -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 (/ (+ (* -1/8 (* (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))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (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))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (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))) |
(- (+ (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))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (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))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (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))) |
(- (+ (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))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (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)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(- (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 (/ (+ (* -1/8 (* (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)) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (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))) (sqrt x)) |
(- 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)) |
(- 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 |
(+ 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 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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 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 #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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (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) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(- (+ (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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(- (+ (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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(- (+ (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ (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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(- (+ (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) y)) (-.f64 (/.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) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(- (+ (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (/.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ 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)) (+.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.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) 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 (+.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)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 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)) (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) t)) (+.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)))) |
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(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (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) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.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))) (neg.f64 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)) |
(/.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)))) (neg.f64 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)) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 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))))) (neg.f64 x)) |
(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(fma.f64 t #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(-.f64 (fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(fma.f64 t (fma.f64 t (fma.f64 t #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) |
(* 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) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/.f64 (fma.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) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (neg.f64 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)) |
(/.f64 (fma.f64 (sqrt.f64 t) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 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)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/8 binary64) (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))) (fma.f64 (sqrt.f64 t) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 t)) |
(- 1 (sqrt z)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #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 -1/8 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 (sqrt.f64 z) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (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 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* 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)))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -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)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
(* -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))))))) |
(*.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #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)) |
(neg.f64 (/.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)) |
(* -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 (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))) (fma.f64 (sqrt.f64 y) #s(literal 1/2 binary64) (*.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))))))) (neg.f64 y)) |
Compiled 34 525 to 2 472 computations (92.8% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 24 | 588 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 565 | 24 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| 92.6% | (/.f64 (fma.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))) (pow.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))) #s(literal 3 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.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 (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 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (+.f64 #s(literal 1 binary64) t) t))) (*.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 (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 (-.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 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)))) | |
| 32.8% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 5.8% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 y y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.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))) | |
| 33.7% | (+.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))) | |
| 10.0% | (+.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))) | |
| ▶ | 93.8% | (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.5% | (+.f64 (+.f64 (-.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) 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))) | |
| 71.9% | (+.f64 (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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))) | |
| 39.4% | (+.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))) | |
| ▶ | 91.9% | (+.f64 (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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))) |
| ▶ | 92.2% | (+.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))) |
| 5.3% | (+.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))) | |
| ▶ | 93.1% | (+.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))) |
| 92.1% | (+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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))) | |
| 93.4% | (+.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))) | |
| 93.0% | (+.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))) | |
| 92.8% | (+.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)))) | |
| 88.0% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 68.6% | (+.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))) | |
| 49.8% | (+.f64 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 60.7% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))))) |
| 41.6% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 10.8% | (+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) | |
| 60.8% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (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 y) (sqrt.f64 z)))))) |
Compiled 2 062 to 1 184 computations (42.6% 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 | (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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))) |
| ✓ | 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))) |
| ✓ | 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) x))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))))) |
| ✓ | cost-diff | 192 | (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y))) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| 10 746× | lower-fma.f32 |
| 10 738× | lower-fma.f64 |
| 6 204× | lower-+.f32 |
| 6 156× | lower-+.f64 |
| 3 820× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 835 |
| 0 | 111 | 867 |
| 1 | 241 | 839 |
| 2 | 732 | 761 |
| 3 | 3849 | 757 |
| 4 | 6928 | 757 |
| 0 | 8082 | 757 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 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 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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)))) |
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
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) |
y |
(sqrt.f64 y) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 x) |
(-.f64 (+.f64 #s(literal 1 binary64) y) 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 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(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) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.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 (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 (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#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 (+.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 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 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)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #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) t)) (sqrt.f64 t)))) |
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.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 #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 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 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 (+.f64 #s(literal 1 binary64) y) y) |
#s(literal 1 binary64) |
(*.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) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(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) 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 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 y) |
(sqrt.f64 z) |
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (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 (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 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 y) (fma.f64 x #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) #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))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (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 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 #s(literal 1 binary64) y)) (+.f64 (-.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 #s(literal 1 binary64) y)) (-.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 y))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#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 (+.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 (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 (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 (-.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(+.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 | 5.0% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 4.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 5.0% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 4.2% | (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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))) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 6.0% | (sqrt.f64 t) |
| ✓ | accuracy | 5.0% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 7.5% | (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
| ✓ | accuracy | 7.4% | (sqrt.f64 z) |
| ✓ | accuracy | 6.2% | (+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
| ✓ | accuracy | 4.4% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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))))) |
| ✓ | accuracy | 5.7% | (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y))) |
| ✓ | accuracy | 4.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 268.0ms | 240× | 1 | valid |
| 6.0ms | 16× | 0 | valid |
Compiled 1 693 to 120 computations (92.9% saved)
ival-add: 57.0ms (28% of total)ival-sqrt: 56.0ms (27.5% of total)adjust: 51.0ms (25.1% of total)ival-sub: 16.0ms (7.9% of total)ival-mult: 16.0ms (7.9% of total)ival-div: 6.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) x)> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) y) y)> |
#<alt (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))> |
#<alt (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y)))> |
#<alt (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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)))))> |
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<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 (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 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 z #s(literal 1 binary64))) (sqrt.f64 z))> |
#<alt (+.f64 (sqrt.f64 y) (sqrt.f64 z))> |
#<alt (sqrt.f64 z)> |
#<alt (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))> |
#<alt (sqrt.f64 t)> |
| 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> |
#<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 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 (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ (sqrt x) (sqrt (+ 1 x)))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y)))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* 1/2 x)))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* x (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))> |
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y)))))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt (+ 1 y))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 x)))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* 1/2 y)))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))))> |
#<alt (+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))))> |
#<alt (* 2 (sqrt y))> |
#<alt (* y (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))))> |
#<alt (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x)))))))> |
#<alt (* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))))))> |
#<alt (* -2 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt (+ 1 x))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y))))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<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 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 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 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y)))> |
#<alt (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))> |
#<alt (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (/ 1 y) (sqrt (+ 1 x))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (/ 1 y) (sqrt (+ 1 x)))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt (+ 1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt (+ 1 x)) (* -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 (sqrt (+ 1 y)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt (+ 1 y)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y)))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (+ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (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)))))> |
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#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (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)))> |
#<alt (- (+ (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)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (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)))> |
#<alt (- (+ (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)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (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)))> |
#<alt (- (+ (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)))> |
#<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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3)))))))> |
#<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 (/ (- (+ (* 1/16 (* (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)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt z))> |
#<alt (- (+ (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))> |
#<alt (- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (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))> |
#<alt (- (+ (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))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt y))> |
#<alt (- (+ (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))> |
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y))> |
#<alt (- (+ (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))> |
#<alt (- (+ (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))> |
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))) (sqrt y))> |
#<alt (- (+ (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))> |
#<alt (- (+ (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))> |
#<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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<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 (/ (- (+ (* 1/16 (* (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))> |
#<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 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 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 (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (- 1 (sqrt y))> |
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#<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))> |
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#<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 t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (+ (+ (+ (+ (* x 1/2) (- 1 (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | x | @ | inf | (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | t | @ | 0 | (+ (+ (+ (+ (* x 1/2) (- 1 (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | z | @ | -inf | (sqrt z) |
| 1.0ms | x | @ | inf | (+ (+ (+ (+ (* x (+ (* x -1/8) 1/2)) (- 1 (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
Compiled 3 781 to 2 566 computations (32.1% saved)
| 1× | batch-egg-rewrite |
| 4 290× | lower-fma.f32 |
| 4 282× | lower-fma.f64 |
| 3 612× | lower-*.f32 |
| 3 610× | lower-*.f64 |
| 2 874× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 377 |
| 0 | 103 | 377 |
| 1 | 598 | 347 |
| 2 | 6894 | 347 |
| 0 | 8016 | 345 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(-.f64 (+.f64 #s(literal 1 binary64) y) y) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.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 (+.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #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 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 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 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 z) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 x (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(+.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 x)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 x))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 y y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 y y))) |
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(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(fma.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y z) (sqrt.f64 (*.f64 y z)))) (sqrt.f64 x)) |
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)) x) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 x (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 x (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(/.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)) x)) |
(/.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 x (*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(/.f64 (-.f64 x (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)) x))) |
(/.f64 (neg.f64 (-.f64 x (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (neg.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 3 binary64)) (*.f64 z (sqrt.f64 z))) (fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 z (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(*.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)) x))) |
(*.f64 (-.f64 x (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (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 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 y (sqrt.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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)) #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 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.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 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) (+.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)))) |
(*.f64 #s(literal 1 binary64) (-.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 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 y) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 y y)) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) |
(sqrt.f64 t) |
(pow.f64 t #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 726× | lower-fma.f64 |
| 7 726× | lower-fma.f32 |
| 6 690× | lower-+.f64 |
| 6 690× | lower-+.f32 |
| 3 908× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1463 | 14526 |
| 1 | 5002 | 13537 |
| 0 | 8127 | 12859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* 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))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* 1/2 x))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) |
(* 2 (sqrt x)) |
(* x (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y)))))) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y))))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt (+ 1 y)))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt (+ 1 y))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 x))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* 1/2 y))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) |
(* 2 (sqrt y)) |
(* y (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x)))))) |
(* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))))) |
(* y (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 2 (sqrt (/ 1 y))) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x)))))))) |
(* -2 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt (+ 1 x))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y))))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) y)) (* 2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (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))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (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))) |
(- (+ (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))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (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)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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 (/ (+ (* -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 (/ (+ (* -1/8 (* (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))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (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))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (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))) |
(- (+ (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))) |
(+ 1 (sqrt (+ 1 x))) |
(+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) |
(+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) |
(+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt (+ 1 x))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (/ 1 y) (sqrt (+ 1 x)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (/ 1 y) (sqrt (+ 1 x))))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt (+ 1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ 1 (sqrt (+ 1 y))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt (+ 1 y))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (/ 1 x) (sqrt (+ 1 y))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (+ 1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* 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)))))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
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(- (+ (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 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 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))))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(- 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 t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (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 |
#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 x)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+.f64 #s(literal 1 binary64) (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 x))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* 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))))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))) |
(* -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))))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
(* -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)))))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ (sqrt x) (sqrt (+ 1 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (sqrt (+ 1 y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* 1/2 x))))) |
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(+ 1 (+ (sqrt x) (+ (sqrt y) (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))))) |
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(/.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 #s(literal 1/2 binary64) (sqrt.f64 y)))) (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 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 #s(literal 1/2 binary64) (sqrt.f64 y))))) (neg.f64 y)) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
Compiled 103 872 to 6 216 computations (94% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 972 | 29 | 2 001 |
| Fresh | 15 | 4 | 19 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 992 | 33 | 2 025 |
| Status | Accuracy | Program |
|---|---|---|
| 46.4% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| ▶ | 10.2% | (-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
| 27.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 49.6% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (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))) | |
| 37.9% | (+.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))) | |
| ▶ | 33.7% | (+.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))) |
| 10.0% | (+.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))) | |
| 45.4% | (+.f64 (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 43.4% | (+.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))) | |
| 38.8% | (+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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))) | |
| 39.0% | (+.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))) | |
| 32.9% | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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))) | |
| 39.4% | (+.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))) | |
| 93.6% | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.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))) | |
| 92.5% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 92.3% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 87.3% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 67.9% | (+.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 #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))) | |
| ▶ | 94.9% | (+.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 #s(literal 1 binary64) (+.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))) |
| 93.4% | (+.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))) | |
| 42.9% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) | |
| 61.0% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) | |
| 24.7% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) | |
| 3.7% | (+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 67.0% | (+.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)))) | |
| 37.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) | |
| 68.9% | (+.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)))) | |
| 9.2% | (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 37.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 t)))) | |
| 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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)))) | |
| ▶ | 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| 2.2% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 2.9% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
Compiled 1 926 to 1 324 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) y)) |
| ✓ | cost-diff | 0 | (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))) |
| ✓ | cost-diff | 0 | (+.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))) |
| ✓ | cost-diff | 0 | (+.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))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 0 | (+.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) y)))) |
| ✓ | cost-diff | 0 | (-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
| ✓ | 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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | 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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) (+.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 (+.f64 (/.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 (+.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 | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| 11 172× | lower-fma.f32 |
| 11 168× | lower-fma.f64 |
| 4 426× | lower-+.f32 |
| 4 384× | lower-+.f64 |
| 3 300× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 513 |
| 0 | 102 | 529 |
| 1 | 190 | 529 |
| 2 | 488 | 493 |
| 3 | 2239 | 493 |
| 4 | 3953 | 493 |
| 5 | 6329 | 493 |
| 0 | 8058 | 493 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 #s(literal 1 binary64) (+.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 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 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+.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) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
x |
(*.f64 x #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (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) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
x |
(sqrt.f64 y) |
(sqrt.f64 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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.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) y)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t)) |
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 y) |
(sqrt.f64 z) |
z |
(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 (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))) |
(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))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(sqrt.f64 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) |
| Outputs |
|---|
(+.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 #s(literal 1 binary64) (+.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 #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)) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (/.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 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.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 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (-.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 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 #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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+.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) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
x |
(*.f64 x #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.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) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
x |
(sqrt.f64 y) |
(sqrt.f64 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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) |
(+.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) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 y) |
(sqrt.f64 z) |
z |
(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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (sqrt.f64 x))) (-.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) 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 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 z)))) |
(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 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (sqrt.f64 x))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(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 |
(sqrt.f64 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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 5.0% | (+.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))) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 6.0% | (sqrt.f64 t) |
| ✓ | accuracy | 4.3% | (+.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) y)))) |
| ✓ | accuracy | 3.5% | (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t)) |
| ✓ | accuracy | 3.2% | (-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
| ✓ | accuracy | 7.4% | (sqrt.f64 z) |
| ✓ | accuracy | 6.6% | (sqrt.f64 x) |
| ✓ | accuracy | 6.4% | (+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| ✓ | accuracy | 1.2% | (+.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 7.3% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | accuracy | 4.8% | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | accuracy | 5.6% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
| ✓ | accuracy | 4.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | accuracy | 3.7% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 280.0ms | 240× | 1 | valid |
| 20.0ms | 16× | 0 | valid |
Compiled 1 038 to 112 computations (89.2% saved)
ival-add: 108.0ms (44% of total)ival-sqrt: 66.0ms (26.9% of total)adjust: 36.0ms (14.7% of total)ival-sub: 14.0ms (5.7% of total)ival-div: 12.0ms (4.9% of total)ival-mult: 7.0ms (2.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<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 #s(literal 1 binary64) (+.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 (+.f64 (/.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 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))> |
#<alt (*.f64 x (*.f64 x #s(literal -1/8 binary64)))> |
#<alt (*.f64 x #s(literal -1/8 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))> |
#<alt (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (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 (+.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t)))> |
#<alt (+.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) y))))> |
#<alt (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) t))> |
#<alt (+.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)))> |
#<alt (+.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)))> |
#<alt (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)))> |
#<alt (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))> |
#<alt (+.f64 #s(literal 1 binary64) z)> |
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 y))> |
#<alt (sqrt.f64 x)> |
#<alt (sqrt.f64 z)> |
#<alt (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))> |
#<alt (sqrt.f64 t)> |
| 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 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (/ 1 (+ 1 (sqrt x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
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#<alt 1> |
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#<alt (sqrt t)> |
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#<alt (* 1/2 x)> |
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#<alt (* 1/2 x)> |
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#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y)))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt 3> |
#<alt (+ 3 (* 1/2 t))> |
#<alt (+ 3 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1/2 (sqrt (/ 1 t)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 t))> |
#<alt (+ 1 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))))) y)> |
#<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)) (* 1/2 (sqrt (/ 1 y)))))) (+ (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)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) (+ (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)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))) (+ (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)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (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)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 z) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -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 y)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (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)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (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 y)))))))) (+ (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)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (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 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))))) y)> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (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)) (* 1/2 (sqrt (/ 1 y))))) (+ (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)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ (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)) (* 1/2 (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 z) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -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 y))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (sqrt (+ 1 x)) (sqrt x)))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (sqrt (+ 1 x)) (sqrt x)))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* y (- (sqrt (+ 1 x)) (sqrt x)))) y)> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* -1/8 x))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 y))))> |
#<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)) (* 1/2 (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))> |
#<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))> |
#<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 (+ 1 (sqrt y)))> |
#<alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 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 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))> |
#<alt 1> |
#<alt (+ 1 z)> |
#<alt (+ 1 z)> |
#<alt (+ 1 z)> |
#<alt z> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<alt z> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<alt (* z (+ 1 (/ 1 z)))> |
#<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 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 (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | x | @ | 0 | (+ (+ 2 (sqrt (+ 1 t))) (+ (* x 1/2) (sqrt (+ 1 y)))) |
| 5.0ms | y | @ | -inf | (+ (+ (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 5.0ms | y | @ | -inf | (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) |
| 2.0ms | y | @ | 0 | (+ (sqrt x) (sqrt y)) |
| 1.0ms | y | @ | 0 | (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
Compiled 3 421 to 2 380 computations (30.4% saved)
| 1× | batch-egg-rewrite |
| 3 732× | lower-*.f32 |
| 3 728× | lower-*.f64 |
| 3 538× | lower-fma.f32 |
| 3 534× | lower-fma.f64 |
| 2 582× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 322 |
| 0 | 102 | 322 |
| 1 | 552 | 300 |
| 2 | 6107 | 300 |
| 0 | 8005 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 #s(literal 1 binary64) (+.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 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 (+.f64 #s(literal 1 binary64) y)) (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(*.f64 x #s(literal -1/8 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (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 (+.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.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) y)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) 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 (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))) |
(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))) |
(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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 z) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t)) |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 x (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
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(/.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t)) (+.f64 (sqrt.f64 x) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 t)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 t (sqrt.f64 t)))) (neg.f64 (-.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) t) (*.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t))) (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 t))))) |
(/.f64 (fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(/.f64 (-.f64 t (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) t) (*.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 t (sqrt.f64 t)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 t))) (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) t) (*.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(*.f64 (fma.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 t))))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) |
(sqrt.f64 t) |
(pow.f64 t #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 316× | lower-+.f64 |
| 7 316× | lower-+.f32 |
| 5 564× | lower-fma.f64 |
| 5 564× | lower-fma.f32 |
| 4 458× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1241 | 14109 |
| 1 | 4311 | 13206 |
| 0 | 8646 | 12644 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
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3 |
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1 |
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(/ (+ (* -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 (+ 1 (sqrt y))) |
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y)))) |
(+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y)) |
1 |
(+ 1 z) |
(+ 1 z) |
(+ 1 z) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(+ (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 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (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) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (/ 1 (+ 1 (sqrt x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (+ (/ 1 (+ 1 (sqrt x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(- (+ (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))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(- (+ (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))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (neg.f64 x) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 t) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (sqrt.f64 z))) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.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 t) (sqrt.f64 z))) |
(- (+ (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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.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 #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 t) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (/ 1 (+ 1 (sqrt y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (+ (/ 1 (+ 1 (sqrt y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (sqrt z))) |
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(*.f64 t (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* 2 (/ 1 t))))))) |
(*.f64 t (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 x t)) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* 2 (/ 1 t)))))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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(* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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(* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) |
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(+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) |
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(+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) |
(+.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) y)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
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(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x)))))) |
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(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x)))))) |
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(* 1/2 x) |
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(+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))) |
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(+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) |
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(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
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(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
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(* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
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3 |
#s(literal 3 binary64) |
(+ 3 (* 1/2 t)) |
(fma.f64 t #s(literal 1/2 binary64) #s(literal 3 binary64)) |
(+ 3 (* t (+ 1/2 (* -1/8 t)))) |
(fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) |
(+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(fma.f64 t (fma.f64 t (fma.f64 t #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) |
(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t)))) |
(*.f64 t (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))) |
(* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))) |
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(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t))))) |
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(* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 t)) |
(fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(fma.f64 t (fma.f64 t (fma.f64 t #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
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(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))) |
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(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* 1/2 (sqrt y)) (* y (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))))) y) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) 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)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 x) y))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 x) y))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (sqrt.f64 x) y))) (neg.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(*.f64 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 (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(*.f64 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 (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(*.f64 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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 t) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 t) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 t) y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (neg.f64 y))) (neg.f64 y)) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t))) (neg.f64 t)) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t))) (neg.f64 t)) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 t))) (neg.f64 t)) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
Compiled 70 932 to 4 556 computations (93.6% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 629 | 21 | 1 650 |
| Fresh | 18 | 10 | 28 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 652 | 31 | 1 683 |
| Status | Accuracy | Program |
|---|---|---|
| 7.8% | (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) | |
| ▶ | 10.7% | (-.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) y)))) (sqrt.f64 t)) |
| 21.6% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 28.6% | (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 49.3% | (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 33.5% | (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 74.4% | (+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 76.4% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 43.4% | (+.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))) | |
| ▶ | 39.0% | (+.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))) |
| ▶ | 32.9% | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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))) |
| ▶ | 92.5% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 92.3% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 87.3% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 67.9% | (+.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 #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))) | |
| 10.5% | (+.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))) | |
| 68.9% | (+.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)))) | |
| 21.7% | (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 62.8% | (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 66.7% | (+.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)))) | |
| 38.0% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z))) | |
| 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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)))) | |
| 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 39.5% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) | |
| 68.6% | (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 65.3% | (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 47.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) | |
| 37.7% | (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) | |
| 2.2% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 3.7% | (*.f64 x x) |
| 7.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
Compiled 1 566 to 1 094 computations (30.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.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))) |
| ✓ | cost-diff | 0 | (+.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))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 0 | (+.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) y)))) |
| ✓ | cost-diff | 0 | (-.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) y)))) (sqrt.f64 t)) |
| ✓ | cost-diff | 0 | (*.f64 x 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| 12 614× | lower-fma.f32 |
| 12 606× | lower-fma.f64 |
| 5 780× | lower-+.f32 |
| 5 746× | lower-+.f64 |
| 3 588× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 446 |
| 0 | 95 | 442 |
| 1 | 182 | 430 |
| 2 | 501 | 430 |
| 3 | 2565 | 430 |
| 4 | 4173 | 430 |
| 5 | 7049 | 430 |
| 0 | 8800 | 430 |
| 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 z) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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 x x) |
x |
(-.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) y)))) (sqrt.f64 t)) |
(+.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) y)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(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 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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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)) |
(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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
x |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 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) |
| 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 y) (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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 z) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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 x x) |
x |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(+.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) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
(fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 (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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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 #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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
x |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 6.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 5.7% | (sqrt.f64 x) |
| ✓ | accuracy | 4.8% | (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 6.0% | (sqrt.f64 t) |
| ✓ | accuracy | 5.7% | (sqrt.f64 x) |
| ✓ | accuracy | 5.1% | (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 6.5% | (+.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) y)))) |
| ✓ | accuracy | 6.0% | (sqrt.f64 t) |
| ✓ | accuracy | 5.2% | (+.f64 #s(literal 1 binary64) t) |
| ✓ | accuracy | 2.6% | (-.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) y)))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 6.0% | (sqrt.f64 t) |
| ✓ | accuracy | 5.7% | (sqrt.f64 x) |
| ✓ | accuracy | 4.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 2.4% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 267.0ms | 240× | 1 | valid |
| 5.0ms | 16× | 0 | valid |
Compiled 913 to 104 computations (88.6% saved)
adjust: 52.0ms (26.2% of total)ival-sqrt: 43.0ms (21.6% of total)ival-add: 41.0ms (20.6% of total)ival-div: 39.0ms (19.6% of total)ival-sub: 16.0ms (8.1% of total)ival-mult: 6.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 #s(literal 1 binary64) z) z)> |
#<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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (*.f64 x x)> |
#<alt (-.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) y)))) (sqrt.f64 t))> |
#<alt (+.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) y))))> |
#<alt (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) t))> |
#<alt (+.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)))> |
#<alt (+.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)))> |
#<alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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)))> |
#<alt (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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)))> |
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))> |
#<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 (sqrt.f64 x)> |
#<alt (sqrt.f64 t)> |
#<alt (+.f64 #s(literal 1 binary64) t)> |
#<alt (/.f64 #s(literal 1 binary64) 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)) (+ (* 1/2 x) (/ 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 (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 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 (- (+ 1/2 (+ (* (/ 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 (- (+ 1/2 (+ (* (/ 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 (+ 1/2 (* (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)) (+ 1/2 (* (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)) (+ 1/2 (* (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)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 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 x) (+ (* 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 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 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))) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (+ (* 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)) (* 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)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 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)) (* 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 (/ (- (+ (* 1/16 (* (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)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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 x) (+ (* 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 x) (+ (* 1/2 (sqrt (/ 1 t))) (/ 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)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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 (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (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)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (+ (* 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 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (+ (* 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)) (* 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)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))> |
#<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 (/ (- (+ (* 1/16 (* (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)) (* 1/2 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))))> |
#<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 (+ (* (/ 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)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<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 x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (- (+ 3 (+ (sqrt (+ 1 y)) (* 1/2 x))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t)))))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (sqrt t))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x))))> |
#<alt (+ 2 (+ (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)) (* 1/2 x))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (sqrt t))> |
#<alt (* 1/2 x)> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))) (* (sqrt t) (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))) (* (sqrt t) (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))) (* (sqrt t) (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (sqrt t)) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (sqrt t)) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (sqrt t)) x)) 1/2)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 y)))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))) (sqrt t))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (sqrt t))> |
#<alt (sqrt y)> |
#<alt (* y (- (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))) (* (sqrt t) (/ 1 y))))> |
#<alt (* y (- (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y)))))) (* (sqrt t) (/ 1 y))))> |
#<alt (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))))) (* (sqrt t) (/ 1 y))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (sqrt t)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x)))) (sqrt t)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x)))) (sqrt t)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ 3 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (* 1/2 x))))> |
#<alt (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* 2 (/ 1 t))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* 2 (/ 1 t)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 y))) (* 2 (/ 1 t))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (* 2 (/ 1 x))))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) x)) 1/2)))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 y))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y)))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (* 2 (/ 1 y))))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt 3> |
#<alt (+ 3 (* 1/2 t))> |
#<alt (+ 3 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1/2 (sqrt (/ 1 t)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 t))> |
#<alt (+ 1 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (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 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 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 z)))) (+ (sqrt t) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -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)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (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 x)))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (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 z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (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 z)))> |
#<alt (- (+ 1 (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
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#<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 (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt 1> |
#<alt (+ 1 t)> |
#<alt (+ 1 t)> |
#<alt (+ 1 t)> |
#<alt t> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt t> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt (* t (+ 1 (/ 1 t)))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | inf | (+ (+ (- (+ (* 1/2 (+ x (sqrt (/ 1 y)))) 1) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | y | @ | inf | (+ (+ (- (+ (* 1/2 (+ x (sqrt (/ 1 y)))) 1) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | x | @ | inf | (+ (+ (* x 1/2) (- 1 (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
| 1.0ms | y | @ | -inf | (+ (+ (- (+ (* 1/2 (+ x (sqrt (/ 1 y)))) 1) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | z | @ | 0 | (+ (+ (+ (+ (* x 1/2) (- 1 (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t))) |
Compiled 2 806 to 1 945 computations (30.7% saved)
| 1× | batch-egg-rewrite |
| 3 902× | lower-fma.f32 |
| 3 894× | lower-fma.f64 |
| 3 548× | lower-*.f32 |
| 3 546× | lower-*.f64 |
| 2 486× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 272 |
| 0 | 95 | 272 |
| 1 | 539 | 252 |
| 2 | 6101 | 252 |
| 0 | 8095 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
(+.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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 x x) |
(-.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) y)))) (sqrt.f64 t)) |
(+.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) y)))) |
(+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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 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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 t) |
(+.f64 #s(literal 1 binary64) t) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.f64 (-.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 (-.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 (fma.f64 x #s(literal 1/2 binary64) #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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 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 (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) (+.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 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 y) (-.f64 (+.f64 (-.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 (fma.f64 x #s(literal 1/2 binary64) #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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t)) |
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (+.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 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (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 #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)))))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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)))) |
(fma.f64 #s(literal 1 binary64) (*.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(fma.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (+.f64 (-.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (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 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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) y)) (sqrt.f64 y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 (-.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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.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)))) |
(fma.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))) (pow.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 3 binary64))) (/.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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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))) |
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(+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 t)))) |
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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 t)))) |
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(pow.f64 (/.f64 (+.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) t)) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (sqrt.f64 t)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 #s(literal 1 binary64) t) t)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.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 (+.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 (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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 y (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) (+.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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) |
(sqrt.f64 t) |
(pow.f64 t #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 t) #s(literal 1 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1 binary64) t) |
(+.f64 t #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 t) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) t))) |
(-.f64 (/.f64 (*.f64 t t) (+.f64 t #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
(fma.f64 #s(literal 1 binary64) t #s(literal 1 binary64)) |
(fma.f64 t #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 #s(literal 1 binary64) t)) (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t #s(literal -1 binary64)) (fma.f64 t t #s(literal -1 binary64)))) |
(/.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64)) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64)) (fma.f64 t t (-.f64 #s(literal 1 binary64) t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) t)) |
(/.f64 (fma.f64 t t #s(literal -1 binary64)) (+.f64 t #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (neg.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (neg.f64 (fma.f64 t t (-.f64 #s(literal 1 binary64) t)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 t t))) (neg.f64 (-.f64 #s(literal 1 binary64) t))) |
(/.f64 (neg.f64 (fma.f64 t t #s(literal -1 binary64))) (neg.f64 (+.f64 t #s(literal -1 binary64)))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t t (-.f64 #s(literal 1 binary64) t)) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 t #s(literal -1 binary64)) (fma.f64 t t #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(*.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 #s(literal 1 binary64) t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t))) |
(*.f64 (fma.f64 t t #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y)) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
| 1× | egg-herbie |
| 5 824× | lower-+.f64 |
| 5 824× | lower-+.f32 |
| 5 064× | lower-fma.f64 |
| 5 064× | lower-fma.f32 |
| 3 872× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1043 | 10910 |
| 1 | 3599 | 10106 |
| 2 | 7770 | 10106 |
| 0 | 8034 | 9559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(- (+ 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (+ (* (/ 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 (- (+ 1/2 (+ (* (/ 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 (- (+ 1/2 (+ (* (/ 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 (+ 1/2 (* (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)) (+ 1/2 (* (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)) (+ 1/2 (* (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)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 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 x) (+ (* 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 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 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))) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (+ (* 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)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 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 x) (* 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 x) (* 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)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x))))) (+ (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)) (* 1/2 x))))) (+ (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)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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 x) (+ (* 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 x) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
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x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
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1 |
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(sqrt t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
1 |
(+ 1 t) |
(+ 1 t) |
(+ 1 t) |
t |
(* t (+ 1 (/ 1 t))) |
(* t (+ 1 (/ 1 t))) |
(* t (+ 1 (/ 1 t))) |
t |
(* t (+ 1 (/ 1 t))) |
(* t (+ 1 (/ 1 t))) |
(* t (+ 1 (/ 1 t))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
| 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)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 x #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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 x #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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 x #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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(* 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) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x)) (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 (- (+ 1/2 (+ (* (/ 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x)) (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 (- (+ 1/2 (+ (* (/ 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x)) (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 (+ 1/2 (* (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)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.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 t) (sqrt.f64 y))) (neg.f64 x)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.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 t) (sqrt.f64 y))) (neg.f64 x)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.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 t) (sqrt.f64 y))) (neg.f64 x)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (+ (* 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 (fma.f64 x #s(literal 1/2 binary64) (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 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (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 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 x) (+ (* 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) (+.f64 x (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 x) (+ (* 1/2 (sqrt (/ 1 y))) (/ 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)) (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) (+.f64 x (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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (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))) (+ (* 1/2 x) (/ 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) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) (/.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)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y)) (fma.f64 x #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)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (* 1/2 x) (/ 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 (fma.f64 x #s(literal 1/2 binary64) (/.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)) (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 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (+ (* 1/2 x) (/ 1 (+ 1 (sqrt z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.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 #s(literal -1/2 binary64) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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)))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 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)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (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)))))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.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) y)))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (sqrt (/ 1 y))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (sqrt (/ 1 y))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (sqrt (/ 1 y))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (+ x (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(-.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(-.f64 (fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(-.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)) #s(literal 1 binary64)) (sqrt.f64 t)) |
(* 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) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/.f64 (fma.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) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64) (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 (/ (+ (* -1/8 (* (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 (fma.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)) |
(* -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)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (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))) (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)) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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)))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 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))) (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 #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)))) (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 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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))))) (neg.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
1 |
#s(literal 1 binary64) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
t |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
t |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
(* t (+ 1 (/ 1 t))) |
(+.f64 #s(literal 1 binary64) t) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
Compiled 63 506 to 4 207 computations (93.4% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 483 | 13 | 1 496 |
| Fresh | 5 | 21 | 26 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 493 | 34 | 1 527 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) | |
| 67.8% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 x) (sqrt.f64 y))) | |
| 21.6% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 28.6% | (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 49.3% | (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 38.4% | (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 32.9% | (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 33.5% | (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.5% | (+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 74.4% | (+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 76.4% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 43.4% | (+.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))) | |
| 92.3% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 87.3% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 10.5% | (+.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))) | |
| 29.2% | (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) | |
| 68.9% | (+.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)))) | |
| 38.0% | (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) | |
| 30.3% | (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) | |
| 30.2% | (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) | |
| 21.7% | (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 62.8% | (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 66.7% | (+.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)))) | |
| 38.0% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z))) | |
| 86.8% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) | |
| 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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)))) | |
| 57.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 68.6% | (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 37.7% | (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) | |
| 2.2% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 9.5% | (*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) | |
| 4.5% | (*.f64 x #s(literal 1/2 binary64)) | |
| 7.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) | |
| 7.5% | (sqrt.f64 y) |
Compiled 3 065 to 911 computations (70.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
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(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
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(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
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(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 #s(literal 1/2 binary64) (+.f64 x (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))) |
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(+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (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 #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 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (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 y) (sqrt.f64 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.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 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 x) (sqrt.f64 y))) |
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (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) 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 (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 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
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(+.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 (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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.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 (+.f64 (/.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 (+.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 (sqrt.f64 (fma.f64 y y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.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 (+.f64 (-.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) 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 (fma.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.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) y) 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(/.f64 (fma.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))) (pow.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))) #s(literal 3 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.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 (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 (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (+.f64 #s(literal 1 binary64) t) t))) (*.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 (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 (-.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 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)))) |
| Outputs |
|---|
(+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (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)))) |
11 calls:
| 29.0ms | x |
| 28.0ms | z |
| 27.0ms | y |
| 25.0ms | (+.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))) |
| 25.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | x |
| 99.4% | 2 | y |
| 99.4% | 2 | z |
| 94.9% | 1 | t |
| 99.4% | 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))) |
| 99.4% | 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))) |
| 99.4% | 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))) |
| 98.8% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 99.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 94.9% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 #s(literal 1/2 binary64) (+.f64 x (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 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (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 #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 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (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 y) (sqrt.f64 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) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.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 (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 x) (sqrt.f64 y))) |
(+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/2 binary64) (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) 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 (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 (+.f64 #s(literal 1 binary64) t) t) (+.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 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (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 (-.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))) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 52.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 26.0ms | z |
| 24.0ms | (+.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))) |
| 23.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 23.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | y |
| 99.3% | 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))) |
| 99.3% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 99.3% | 2 | z |
| 99.3% | 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))) |
| 99.3% | 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))) |
| 99.0% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 #s(literal 1/2 binary64) (+.f64 x (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 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 (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 #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 (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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))) |
9 calls:
| 19.0ms | z |
| 18.0ms | x |
| 18.0ms | y |
| 16.0ms | (+.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | x |
| 96.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 92.2% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 98.1% | 3 | y |
| 92.2% | 1 | z |
| 98.1% | 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))) |
| 98.1% | 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))) |
| 98.1% | 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))) |
| 96.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 129 to 96 computations (25.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 #s(literal 1/2 binary64) (+.f64 x (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 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (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)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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))) |
9 calls:
| 16.0ms | y |
| 14.0ms | t |
| 14.0ms | 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 | (+.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 |
|---|---|---|
| 97.3% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 91.7% | 2 | t |
| 91.7% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 92.2% | 2 | x |
| 92.2% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.6% | 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))) |
| 97.6% | 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))) |
| 97.6% | 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))) |
| 97.6% | 3 | y |
Compiled 129 to 96 computations (25.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (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 #s(literal 1/2 binary64) (+.f64 x (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))) |
| Outputs |
|---|
(+.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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
5 calls:
| 14.0ms | (+.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))) |
| 14.0ms | y |
| 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))) |
| 12.0ms | (+.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))) |
| 11.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 98.7% | 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))) |
| 98.7% | 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))) |
| 93.8% | 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))) |
| 93.8% | 3 | y |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.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))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.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 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
| Outputs |
|---|
(+.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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
2 calls:
| 12.0ms | (+.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))) |
| 11.0ms | (+.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 |
|---|---|---|
| 98.7% | 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))) |
| 98.7% | 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 |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(*.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 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 t) x)))) |
(-.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) y)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| Outputs |
|---|
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
4 calls:
| 14.0ms | z |
| 11.0ms | (+.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))) |
| 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 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | z |
| 91.7% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 94.8% | 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))) |
| 94.8% | 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 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| Outputs |
|---|
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
11 calls:
| 12.0ms | y |
| 11.0ms | z |
| 11.0ms | t |
| 11.0ms | x |
| 10.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 91.8% | 3 | z |
| 91.8% | 3 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 81.6% | 3 | t |
| 89.2% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 70.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 75.3% | 3 | x |
| 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 | y |
| 94.7% | 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))) |
| 94.7% | 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 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (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 (+.f64 #s(literal 1 binary64) (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))) |
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 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 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
2 calls:
| 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))) |
| 8.0ms | (+.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 |
|---|---|---|
| 94.1% | 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))) |
| 94.1% | 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))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
| Outputs |
|---|
(+.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 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
4 calls:
| 8.0ms | z |
| 8.0ms | (+.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))) |
| 7.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | z |
| 91.5% | 3 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 91.5% | 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))) |
| 91.5% | 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))) |
Compiled 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| Outputs |
|---|
(+.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 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
4 calls:
| 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 | z |
| 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 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | z |
| 91.3% | 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))) |
| 91.3% | 3 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 91.3% | 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))) |
Compiled 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
| Outputs |
|---|
(+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
4 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))) |
| 7.0ms | z |
| 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))) |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | z |
| 91.3% | 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))) |
| 91.3% | 3 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 91.3% | 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))) |
Compiled 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.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 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) |
| Outputs |
|---|
(+.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 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
2 calls:
| 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))) |
| 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 |
|---|---|---|
| 91.3% | 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))) |
| 91.3% | 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 |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
4 calls:
| 6.0ms | z |
| 5.0ms | (+.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))) |
| 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 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | z |
| 91.0% | 3 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 91.0% | 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))) |
| 91.0% | 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 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.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) 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 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) |
(-.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) y)))) (sqrt.f64 t)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
7 calls:
| 5.0ms | (+.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))) |
| 5.0ms | z |
| 5.0ms | y |
| 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))) |
| 5.0ms | (+.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 |
|---|---|---|
| 73.8% | 2 | y |
| 68.6% | 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))) |
| 68.6% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 87.7% | 2 | z |
| 87.7% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 87.7% | 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))) |
| 87.7% | 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))) |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
11 calls:
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | t |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 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))) |
| 58.0% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 38.0% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 46.8% | 2 | x |
| 58.0% | 2 | y |
| 43.0% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 49.3% | 2 | t |
| 57.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 57.5% | 2 | z |
| 58.0% | 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))) |
| 58.0% | 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))) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (fma.f64 x #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) y))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
7 calls:
| 8.0ms | (+.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))) |
| 3.0ms | y |
| 3.0ms | 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 |
|---|---|---|
| 52.5% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 52.6% | 2 | z |
| 53.1% | 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))) |
| 53.1% | 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))) |
| 53.1% | 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))) |
| 53.1% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 53.1% | 2 | y |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
11 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | t |
| 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 |
|---|---|---|
| 37.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 37.7% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 37.7% | 1 | x |
| 37.7% | 1 | t |
| 37.7% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 37.7% | 1 | z |
| 37.7% | 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))) |
| 37.7% | 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))) |
| 37.7% | 1 | y |
| 37.7% | 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))) |
| 37.7% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
(sqrt.f64 y) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| Outputs |
|---|
(sqrt.f64 y) |
11 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| 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 |
|---|---|---|
| 7.5% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 7.5% | 1 | t |
| 7.5% | 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))) |
| 7.5% | 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))) |
| 7.5% | 1 | x |
| 7.5% | 1 | y |
| 7.5% | 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))) |
| 7.5% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 7.5% | 1 | z |
| 7.5% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 7.5% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 145 to 109 computations (24.8% saved)
Total -0.5b remaining (-0.9%)
Threshold costs -0.5b (-0.9%)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
11 calls:
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 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 | t |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | x |
| 4.5% | 1 | y |
| 4.5% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 4.5% | 1 | z |
| 4.5% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 4.5% | 1 | t |
| 4.5% | 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))) |
| 4.5% | 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))) |
| 4.5% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 4.5% | 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))) |
| 4.5% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 145 to 109 computations (24.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0023388313129544e-5 | 0.00037655443429684965 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9999980012235854 | 1.9999999988301307 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 5.202617136250195e+29 | 6.936637346692467e+32 |
| 39.0ms | 12847735.004460553 | 1902477064.972172 |
| 80.0ms | 226× | 1 | valid |
| 2.0ms | 14× | 0 | valid |
Compiled 920 to 659 computations (28.4% saved)
ival-sqrt: 33.0ms (46.3% of total)ival-add: 16.0ms (22.5% of total)adjust: 14.0ms (19.6% of total)ival-sub: 8.0ms (11.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.202617136250195e+29 | 6.936637346692467e+32 |
| 328.0ms | 3.8140581004340527e-7 | 1.0163331754879514 |
| 70.0ms | 129× | 1 | valid |
| 2.0ms | 15× | 0 | valid |
Compiled 1 017 to 738 computations (27.4% saved)
ival-sqrt: 46.0ms (70.2% of total)adjust: 8.0ms (12.2% of total)ival-add: 7.0ms (10.7% of total)ival-sub: 5.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999967771148226 | 2.999999820083832 |
| 0.0ms | 1.0000012067030184 | 1.0001394943797095 |
| 0.0ms | 7.765006284898845e-5 | 0.27734853297521944 |
Compiled 38 to 32 computations (15.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999999999907 | 2.9999999999999973 |
| 0.0ms | 1.0000012067030184 | 1.0001394943797095 |
| 0.0ms | 7.765006284898845e-5 | 0.27734853297521944 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999999999907 | 2.9999999999999973 |
| 0.0ms | 1.0000012067030184 | 1.0001394943797095 |
Compiled 38 to 32 computations (15.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000106170771 |
| 0.0ms | 2.000010023388313 | 2.000376554434297 |
| 0.0ms | 1.0000012067030184 | 1.0001394943797095 |
Compiled 38 to 31 computations (18.4% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000106170771 |
| 0.0ms | 2.000010023388313 | 2.000376554434297 |
| 0.0ms | 1.0000012067030184 | 1.0001394943797095 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000106170771 |
| 0.0ms | 2.000010023388313 | 2.000376554434297 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000106170771 |
| 0.0ms | 2.0 | 2.0000001308508217 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999999999907 | 2.9999999999999996 |
| 0.0ms | 1.9999999999999916 | 2.0 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999999999907 | 2.9999999999999973 |
| 0.0ms | 1.9999999999999916 | 2.0 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999999999907 | 2.9999999999999973 |
| 0.0ms | 1.9999999999999916 | 2.0 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4472382741122454 | 2.983624857433669 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.8140581004340527e-7 | 1.0163331754879514 |
| 20.0ms | 47× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 281 to 238 computations (15.3% saved)
ival-add: 8.0ms (45% of total)ival-sqrt: 5.0ms (28.1% of total)adjust: 3.0ms (16.9% of total)ival-sub: 2.0ms (11.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.8140581004340527e-7 | 1.0163331754879514 |
Compiled 254 to 220 computations (13.4% saved)
| 1× | egg-herbie |
| 136× | +-commutative_binary64 |
| 50× | sub-neg_binary64 |
| 18× | *-commutative_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1739 |
| 1 | 238 | 1739 |
| 2 | 273 | 1739 |
| 3 | 294 | 1739 |
| 4 | 304 | 1739 |
| 5 | 305 | 1739 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (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))))) |
(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 9007194751141365/4503599627370496 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 y #s(literal 1900000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 y #s(literal 530000000000000002094601863168 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.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))))) |
(if (<=.f64 y #s(literal 6124895493223875/9007199254740992 binary64)) (+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 y #s(literal 530000000000000002094601863168 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.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))))) |
(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 7378697629483821/73786976294838206464 binary64)) (+.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))) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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 6755394937456117/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (-.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 7378697629483821/73786976294838206464 binary64)) (+.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))) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 x #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 x) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 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 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 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 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 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)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 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)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 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)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 y) |
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 (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))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (+.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 9007194751141365/4503599627370496 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (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 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 9007194751141365/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 y #s(literal 1900000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #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 y #s(literal 530000000000000002094601863168 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.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))))) |
(if (<=.f64 y #s(literal 1900000000 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))) (if (<=.f64 y #s(literal 530000000000000002094601863168 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (-.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)))))))) |
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(if (<=.f64 y #s(literal 6124895493223875/9007199254740992 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (if (<=.f64 y #s(literal 530000000000000002094601863168 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 (-.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)))))))) |
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(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 x))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.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 z #s(literal 1 binary64))) (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))))) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 4504049987333233/2251799813685248 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 #s(literal 1 binary64) y))) (+.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 z #s(literal 1 binary64))) (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))))) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 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)))) (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 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #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)))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 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)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 4503599627370477/2251799813685248 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)))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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))))) #s(literal 6755399441055733/2251799813685248 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 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)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 4503599627370477/2251799813685248 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)))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 4503599627370477/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (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 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 4503599627370477/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 6755399441055733/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (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 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (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)))) #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
| 8 390× | lower-+.f64 |
| 8 390× | lower-+.f32 |
| 7 726× | lower-fma.f64 |
| 7 726× | lower-fma.f32 |
| 7 316× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1043 | 10910 |
| 1 | 3599 | 10106 |
| 2 | 7770 | 10106 |
| 0 | 8034 | 9559 |
| 0 | 53 | 377 |
| 0 | 103 | 377 |
| 1 | 598 | 347 |
| 2 | 6894 | 347 |
| 0 | 8016 | 345 |
| 0 | 24 | 101 |
| 0 | 43 | 101 |
| 1 | 208 | 101 |
| 2 | 2164 | 101 |
| 0 | 9211 | 101 |
| 0 | 1463 | 14526 |
| 1 | 5002 | 13537 |
| 0 | 8127 | 12859 |
| 0 | 1241 | 14109 |
| 1 | 4311 | 13206 |
| 0 | 8646 | 12644 |
| 0 | 585 | 4374 |
| 1 | 1851 | 4079 |
| 2 | 6654 | 4076 |
| 0 | 8589 | 3852 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 5 599 to 2 775 computations (50.4% saved)
Compiled 4 142 to 640 computations (84.5% saved)
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