
Time bar (total: 24.8s)
| 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)
| 4.1s | 7 511× | 1 | valid |
| 3.6s | 16 121× | 0 | invalid |
| 214.0ms | 745× | 0 | valid |
ival-sqrt: 2.7s (43.8% of total)ival-add: 1.8s (29% of total)ival-sub: 889.0ms (14.2% of total)adjust: 771.0ms (12.3% of total)ival-true: 20.0ms (0.3% of total)exact: 16.0ms (0.3% of total)ival-assert: 10.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 126 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 121 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 120 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 y) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 0 | 0 | - | 0 | - | (+.f64 t #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | cancellation | 29 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 27 | 1 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | cancellation | 26 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | cancellation | 20 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 47 | 0 |
| - | 29 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 47 | 0 | 0 |
| - | 29 | 0 | 180 |
| number | freq |
|---|---|
| 0 | 180 |
| 1 | 55 |
| 2 | 16 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 401.0ms | 466× | 1 | valid |
| 26.0ms | 46× | 0 | valid |
Compiled 311 to 76 computations (75.6% saved)
ival-add: 102.0ms (38.7% of total)ival-sqrt: 85.0ms (32.3% of total)ival-sub: 46.0ms (17.5% of total)adjust: 30.0ms (11.4% of total)ival-true: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(sort x y z t)
Compiled 31 to 24 computations (22.6% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.5% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 31 to 24 computations (22.6% 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) |
(+.f64 (-.f64 (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) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.7595213864360635 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 15.910578895725102 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 134.0ms | 234× | 1 | valid |
| 3.0ms | 22× | 0 | valid |
Compiled 140 to 26 computations (81.4% saved)
ival-add: 40.0ms (42.3% of total)ival-sqrt: 31.0ms (32.8% of total)adjust: 15.0ms (15.9% of total)ival-sub: 8.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(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))) (patch (+.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))) #<representation binary64>) () ()) |
#s(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))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/2 t)) (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
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#s(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)) (taylor inf x) (#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) (taylor -inf x) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) (taylor -inf x) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(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)))) (taylor -inf x) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(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)))) (taylor -inf x) (#s(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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) (taylor -inf x) (#s(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))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) (taylor -inf x) (#s(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))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor -inf x) (#s(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))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor -inf x) (#s(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))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (- (sqrt (+ 1 y)) (sqrt y)) (taylor -inf x) (#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) (taylor -inf x) (#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) (taylor -inf x) (#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(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))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) |
| 2.0ms | y | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) |
| 2.0ms | x | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) |
| 2.0ms | z | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) |
| 2.0ms | x | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) |
| 1× | egg-herbie |
| 7 816× | lower-+.f64 |
| 7 816× | lower-+.f32 |
| 5 582× | lower--.f64 |
| 5 582× | lower--.f32 |
| 4 008× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 4159 |
| 1 | 1736 | 3889 |
| 2 | 6232 | 3889 |
| 0 | 8030 | 3682 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 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))))) |
(- 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)) |
(- (+ (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)))) |
(* 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) |
(- (+ (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)))) |
(* -1/2 (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 (+ 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))))) |
(- (+ 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)))) |
(- 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)) |
(- (+ (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 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))) |
(* 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) |
(- (+ (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)))) |
(- (+ (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))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 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))))) |
(- (+ 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)))) |
(- (+ 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))) |
(- 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)) |
(- (+ (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 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 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)) |
(* 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) |
(- (+ (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)))) |
(- (+ (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))) |
(- (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)) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (+ (sqrt (+ 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))))) |
(- (+ 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)))) |
(- (+ 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))) |
(- 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)) |
(- (+ (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 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 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)) |
(* 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) |
(- (+ (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)))) |
(- (+ (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))) |
(- (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)) |
(* -1/2 (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)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64))) |
(- (+ 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))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64))) |
(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(fma.f64 #s(literal 1/2 binary64) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (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)))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (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)))) |
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 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 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (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)))) |
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) t)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (+ (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)))) |
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(-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 x)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(-.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(-.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (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 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (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 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (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))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 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)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 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 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (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 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (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))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (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))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 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)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 y)) |
(* -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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (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 (/.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))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
| 4 982× | lower-fma.f64 |
| 4 982× | lower-fma.f32 |
| 3 788× | lower-/.f64 |
| 3 788× | lower-/.f32 |
| 3 666× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 0 | 43 | 97 |
| 1 | 208 | 97 |
| 2 | 2164 | 97 |
| 0 | 9211 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Outputs |
|---|
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Compiled 29 314 to 2 415 computations (91.8% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 21 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 21 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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))) | |
| ▶ | 92.5% | (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
| 91.8% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 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))) | |
| ▶ | 92.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 91.8% | (+.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 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 91.7% | (+.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 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) | |
| 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) | |
| 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.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))) | |
| 6.0% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 89.1% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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))) | |
| 26.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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))) | |
| ▶ | 10.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) |
| 75.5% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (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))) | |
| 33.3% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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))) | |
| 45.9% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 48.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 38.9% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 16.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| ▶ | 32.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
Compiled 1 400 to 1 044 computations (25.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 384 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| cost-diff | 192 | (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) | |
| cost-diff | 320 | (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 384 | (-.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 384 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) |
| 10 370× | lower-fma.f32 |
| 10 364× | lower-fma.f64 |
| 4 970× | lower-+.f32 |
| 4 928× | lower-+.f64 |
| 2 968× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 994 |
| 0 | 125 | 1026 |
| 1 | 251 | 998 |
| 2 | 731 | 920 |
| 3 | 3270 | 916 |
| 4 | 5547 | 916 |
| 5 | 6930 | 916 |
| 0 | 8193 | 916 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 x) |
x |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) x) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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)) |
(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) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(-.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(-.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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.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 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.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 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.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 (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
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)) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(-.f64 (+.f64 #s(literal 1 binary64) x) x) |
#s(literal 1 binary64) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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)) |
(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) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(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 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(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 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(-.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)) |
(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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.7595213864360635 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 15.019189869703961 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 15.910578895725102 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.26858130251255 | #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 0.0390625 | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) | |
| accuracy | 4.5754522388300325 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| accuracy | 37.30892694191085 | (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 0.03125 | (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0.0390625 | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| accuracy | 38.72925460015038 | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| accuracy | 3.4022666641266985 | (-.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 15.019189869703961 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 262.0ms | 234× | 1 | valid |
| 8.0ms | 22× | 0 | valid |
Compiled 891 to 58 computations (93.5% saved)
adjust: 50.0ms (24.5% of total)ival-add: 45.0ms (22% of total)ival-sub: 43.0ms (21.1% of total)ival-sqrt: 40.0ms (19.6% of total)ival-mult: 16.0ms (7.8% of total)ival-div: 9.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 y #s(literal 1 binary64)) y) (patch (-.f64 (+.f64 y #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch (fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (patch (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (patch (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (patch (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (patch (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (patch #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (patch (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) (patch (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (sqrt t)) (taylor 0 t) (#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(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 (+ (sqrt y) (sqrt (+ 1 y))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (patch (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (+ y 1) y) (- (+ 1 x) x) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x)) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) |
| 4.0ms | y | @ | inf | ((- (+ y 1) y) (- (+ 1 x) x) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x)) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) |
| 3.0ms | y | @ | -inf | ((- (+ y 1) y) (- (+ 1 x) x) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x)) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) |
| 2.0ms | x | @ | inf | ((- (+ y 1) y) (- (+ 1 x) x) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x)) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) |
| 2.0ms | y | @ | 0 | ((- (+ y 1) y) (- (+ 1 x) x) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x)) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (+ (sqrt z) (sqrt y)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) |
| 1× | egg-herbie |
| 7 670× | lower-+.f64 |
| 7 670× | lower-+.f32 |
| 5 248× | lower-fma.f64 |
| 5 248× | lower-fma.f32 |
| 5 014× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1265 | 17886 |
| 1 | 4349 | 16956 |
| 0 | 8773 | 16218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 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))))) |
(- (+ 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))))) |
(- (+ 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))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- 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)) |
(- (+ (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)) (+ (* -1/8 (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)) (+ (* -1/8 (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 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt x) (sqrt z))) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt x) (sqrt z))) |
(* 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) |
(- (+ (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)))) |
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(- (+ (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 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)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt 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))) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y))))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (sqrt z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) |
(* 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 |
1 |
1 |
1 |
(+ (sqrt y) (sqrt (+ 1 y))) |
(+ (sqrt y) (sqrt (+ 1 y))) |
(+ (sqrt y) (sqrt (+ 1 y))) |
(+ (sqrt y) (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)))))) |
(- (+ (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)))) |
(- (+ (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 x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (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)))) |
(- (+ (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))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) x)) 1/2))) |
(- (+ (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)))) |
(- (+ (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))) |
(- (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)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (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))) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(- (+ (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 z)) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(* -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)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 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))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 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))))) |
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 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))))) |
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
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(- 1 (sqrt z)) |
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(- (+ 1 (* 1/2 z)) (sqrt z)) |
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(+ (sqrt y) (sqrt z)) |
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(sqrt z) |
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(sqrt z) |
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(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (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 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z)) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) |
(- (+ (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 z)) |
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) |
(- (+ (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 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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 (+ (sqrt y) (sqrt (+ 1 y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) 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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (/.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))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
| 3 734× | lower-fma.f32 |
| 3 728× | lower-fma.f64 |
| 3 158× | lower-*.f32 |
| 3 156× | lower-*.f64 |
| 2 544× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 533 |
| 0 | 117 | 533 |
| 1 | 599 | 499 |
| 2 | 7079 | 499 |
| 0 | 8131 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
(-.f64 (+.f64 #s(literal 1 binary64) x) x) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(-.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 z) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
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Compiled 77 174 to 5 823 computations (92.5% saved)
38 alts after pruning (38 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 619 | 28 | 1 647 |
| Fresh | 6 | 10 | 16 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 630 | 38 | 1 668 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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))) | |
| 93.6% | (+.f64 (+.f64 (/.f64 (fma.f64 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) | |
| ▶ | 96.8% | (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
| 40.2% | (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) | |
| 91.8% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 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))) | |
| 96.4% | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 91.8% | (+.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 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) |
| 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.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))) | |
| 6.0% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.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))) | |
| 91.5% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 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))) | |
| 33.3% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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))) | |
| 26.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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))) | |
| 10.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 10.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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))) | |
| 10.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 11.9% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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))) | |
| 65.3% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 45.9% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 48.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 39.2% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) | |
| 34.0% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) | |
| 38.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 48.3% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 3.6% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 16.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) | |
| ▶ | 8.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) | |
| 32.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) | |
| 28.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| ▶ | 2.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
| 32.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) | |
| ▶ | 45.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
| 48.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 49.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
Compiled 2 274 to 1 754 computations (22.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| cost-diff | 384 | (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
| 9 520× | lower-fma.f32 |
| 9 514× | lower-fma.f64 |
| 5 156× | lower-+.f32 |
| 5 116× | lower-+.f64 |
| 3 268× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1046 |
| 0 | 151 | 1046 |
| 1 | 292 | 1015 |
| 2 | 793 | 986 |
| 3 | 3258 | 978 |
| 4 | 6441 | 978 |
| 5 | 7890 | 978 |
| 0 | 8009 | 978 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 y) |
y |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(sqrt.f64 y) |
(sqrt.f64 x) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
y |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
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) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (/.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.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 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.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 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
#s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (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 y #s(literal -1 binary64))) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.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) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))))) |
#s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
#s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
y |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(sqrt.f64 y) |
(sqrt.f64 x) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64))))) |
(-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 z y) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
y |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (-.f64 y #s(literal -1 binary64)))) (+.f64 (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (-.f64 (sqrt.f64 y) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
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 y #s(literal -1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(+.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.565318510236638 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| accuracy | 15.910578895725102 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| accuracy | 18.92857205106255 | (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 18.972874192207243 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 38.72925460015038 | (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| accuracy | 14.588806126700312 | (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) | |
| accuracy | 19.97065166710506 | #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) | |
| accuracy | 0.0390625 | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| accuracy | 22.58789185778373 | #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) | |
| accuracy | 38.72925460015038 | (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| accuracy | 0.09279252930532605 | (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 1.1314222352230303 | #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 729.0ms | 256× | 1 | valid |
Compiled 825 to 67 computations (91.9% saved)
ival-add: 136.0ms (44.3% of total)adjust: 53.0ms (17.3% of total)ival-sqrt: 52.0ms (17% of total)ival-sub: 42.0ms (13.7% of total)ival-mult: 14.0ms (4.6% of total)ival-div: 9.0ms (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 |
|---|
#s(alt (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) (patch (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) (patch (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (patch (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (patch (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (patch #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (patch #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (patch (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (patch (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (patch (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) (patch (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) (patch (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (patch (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (patch #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (patch (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (patch (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #<representation binary64>) () ()) |
| Outputs |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | 0 | ((+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ y 1)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (- (+ z 1) (+ 1 y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 z)) (- (sqrt (+ z 1)) (sqrt (+ 1 y))) (- (sqrt (+ y 1)) (sqrt y))) |
| 30.0ms | t | @ | inf | ((+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ y 1)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (- (+ z 1) (+ 1 y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 z)) (- (sqrt (+ z 1)) (sqrt (+ 1 y))) (- (sqrt (+ y 1)) (sqrt y))) |
| 17.0ms | y | @ | -inf | ((+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ y 1)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (- (+ z 1) (+ 1 y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 z)) (- (sqrt (+ z 1)) (sqrt (+ 1 y))) (- (sqrt (+ y 1)) (sqrt y))) |
| 14.0ms | x | @ | 0 | ((+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ y 1)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (- (+ z 1) (+ 1 y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 z)) (- (sqrt (+ z 1)) (sqrt (+ 1 y))) (- (sqrt (+ y 1)) (sqrt y))) |
| 12.0ms | y | @ | inf | ((+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+ (+ 1 (sqrt x)) (+ (sqrt y) (sqrt (+ y 1)))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt z) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (- (+ z 1) (+ 1 y)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 z)) (- (sqrt (+ z 1)) (sqrt (+ 1 y))) (- (sqrt (+ y 1)) (sqrt y))) |
| 1× | egg-herbie |
| 7 854× | lower-+.f64 |
| 7 854× | lower-+.f32 |
| 5 076× | lower-fma.f64 |
| 5 076× | lower-fma.f32 |
| 4 110× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2064 | 32180 |
| 1 | 7262 | 31220 |
| 0 | 8270 | 30010 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* -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) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (sqrt y) (sqrt (+ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (sqrt y) (sqrt (+ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (sqrt y) (sqrt (+ 1 y)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (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)))) |
(- (+ (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 x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (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)))) |
(- (+ (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))) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 z))))) (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)) (* 1/2 (sqrt (/ 1 z))))) (sqrt y)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))) 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)) (* 1/2 (sqrt (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (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)))) |
(- (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(- (+ (* -1/2 (sqrt (/ 1 x))) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (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)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (- (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (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)))) |
(- (+ (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))) |
(- (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)) |
(* -1/2 (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 y) (sqrt (+ 1 y)))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 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))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 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))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) t #s(literal -1/8 binary64)) t #s(literal 1/2 binary64)) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
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z |
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(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
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(- (+ (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))) |
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(* 1/2 (sqrt (/ 1 z))) |
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(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
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(sqrt z) |
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(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z) |
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(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z) |
(sqrt (/ 1 z)) |
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(sqrt (/ 1 z)) |
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(sqrt (/ 1 z)) |
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(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt z) |
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(- (+ (sqrt (+ 1 t)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))))))) (sqrt t)) |
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(sqrt x) |
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(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) x))) x)) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) x))) x)) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 z))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) x))) x)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (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 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(-.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))) |
(- (+ (* -1/2 (sqrt (/ 1 x))) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))) |
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (-.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))))) |
(- (+ (* -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)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (-.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(* -1 (* x (+ (* -1 (/ (- (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) x))) x)) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) x))) x)) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (/.f64 y (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) x))) x)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (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 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (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))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (+ (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))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 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)) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) |
(* -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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -5/128 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| 4 476× | lower-fma.f32 |
| 4 470× | lower-fma.f64 |
| 4 264× | lower-*.f32 |
| 4 262× | lower-*.f64 |
| 3 568× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 787 |
| 0 | 151 | 787 |
| 1 | 774 | 738 |
| 0 | 8530 | 732 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
#s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
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Compiled 77 212 to 5 969 computations (92.3% saved)
41 alts after pruning (40 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 511 | 19 | 1 530 |
| Fresh | 12 | 21 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 527 | 41 | 1 568 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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))) | |
| 40.2% | (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) | |
| 91.8% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 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))) | |
| ▶ | 96.4% | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 90.7% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) |
| 72.5% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) 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))) | |
| 6.0% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 31.9% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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))) |
| ▶ | 37.5% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
| 26.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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))) | |
| 10.7% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 11.9% | (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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))) | |
| 71.0% | (+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 68.6% | (+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.3% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 39.2% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) | |
| 34.0% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) | |
| 38.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 3.6% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) | |
| 16.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) | |
| 28.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 9.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| ▶ | 32.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
| 7.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) | |
| ▶ | 1.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
| 45.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 48.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 41.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 5.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 53.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) | |
| 29.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) | |
| 26.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) | |
| 58.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) | |
| 7.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
Compiled 2 371 to 1 789 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) | |
| cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 384 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) |
| 8 904× | lower-fma.f32 |
| 8 902× | lower-fma.f64 |
| 5 132× | lower-+.f32 |
| 5 098× | lower-+.f64 |
| 3 274× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1009 |
| 0 | 134 | 1005 |
| 1 | 268 | 975 |
| 2 | 711 | 921 |
| 3 | 2858 | 909 |
| 4 | 5874 | 909 |
| 5 | 7300 | 909 |
| 0 | 8244 | 909 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(sqrt.f64 x) |
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.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) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
x |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))) |
(+.f64 x #s(literal 1 binary64)) |
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) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(+.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 |
(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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(sqrt.f64 x) |
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y))) |
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
y |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(-.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) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 x) |
x |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))) |
(+.f64 x #s(literal 1 binary64)) |
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) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))) |
(+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(+.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 |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 43.45239089195839 | #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 0.04296875 | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 40.2867117782737 | #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 0.0390625 | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) | |
| accuracy | 0.07457709974477403 | #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| accuracy | 38.72925460015038 | (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) | |
| accuracy | 0 | (sqrt.f64 y) | |
| accuracy | 0 | (neg.f64 (sqrt.f64 y)) | |
| accuracy | 4.55089632103127 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) | |
| accuracy | 62.901740791073756 | #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) | |
| accuracy | 0.13671875 | (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) | |
| accuracy | 15.019189869703961 | (-.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| accuracy | 39.84983329345479 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 56.31231407116122 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 651.0ms | 256× | 1 | valid |
Compiled 834 to 65 computations (92.2% saved)
adjust: 202.0ms (34.2% of total)ival-add: 199.0ms (33.6% of total)ival-sub: 121.0ms (20.5% of total)ival-sqrt: 38.0ms (6.4% of total)ival-div: 15.0ms (2.5% of total)ival-mult: 13.0ms (2.2% of total)ival-neg: 2.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 y #s(literal 1 binary64)) y) (patch (-.f64 (+.f64 y #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) (patch #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sqrt.f64 y)) (patch (neg.f64 (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) (patch (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (patch #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (patch (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) (patch (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (patch (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (patch (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (patch #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) (patch (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) (patch (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (patch (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) (taylor 0 t) (#s(alt (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (patch (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor 0 t) (#s(alt #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (patch #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* (sqrt x) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt y) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (* (sqrt (+ 1 x)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y)))))) (* (sqrt (+ 1 y)) (/ 1 (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt y) (sqrt (+ 1 y))))))))))) (+ (sqrt t) (sqrt z))) (taylor 0 t) (#s(alt (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) (patch (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 4.0ms | y | @ | -inf | ((- (+ y 1) y) (+ (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg (sqrt y)) (sqrt y) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (+ (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ z 1)) (sqrt z)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1)))) (+ (sqrt z) (sqrt y)) (sqrt (/ 1 y))) |
| 1× | egg-herbie |
| 7 646× | lower-+.f64 |
| 7 646× | lower-+.f32 |
| 5 418× | lower-fma.f64 |
| 5 418× | lower-fma.f32 |
| 3 568× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1839 | 39109 |
| 1 | 6502 | 37021 |
| 0 | 8235 | 35920 |
| 1× | iter limit |
| 1× | node limit |
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(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
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(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) |
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(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
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(+ (* -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))))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
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(- (+ (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)))) |
(- (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y)))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(- (+ (* -1/2 (sqrt (/ 1 x))) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ z (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))) (+ (sqrt y) (+ (sqrt z) (/ y (- (sqrt (+ 1 z)) (sqrt (+ 1 y))))))) |
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(- (+ (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)))) |
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(- (+ (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 x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
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(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
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(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ y (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -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 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
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(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ y (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (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)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(* 1/2 (sqrt (/ 1 y))) |
(+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (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)) (* 1/2 (sqrt (/ 1 y)))) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (+ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) t (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) 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 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(* -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)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64))))) x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ y (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))))))) x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) (sqrt z)) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ y x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) x)) (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ y (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (* (pow (sqrt -1) 4) (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (* 1/2 (* (sqrt (* x y)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (* 1/2 (* (sqrt (* x (+ 1 y))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))))))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (sqrt z)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) (sqrt.f64 z)) |
(/ 1 (+ (sqrt y) (sqrt (+ 1 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(+ (* -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))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(* 1/2 (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 y)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(+ (* -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)) (* 1/2 (sqrt (/ 1 y)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
| 4 238× | lower-fma.f32 |
| 4 236× | lower-fma.f64 |
| 3 580× | lower-*.f64 |
| 3 580× | lower-*.f32 |
| 3 210× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 788 |
| 0 | 134 | 788 |
| 1 | 722 | 553 |
| 0 | 8600 | 553 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y))) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))) |
#s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
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Compiled 83 110 to 5 459 computations (93.4% saved)
40 alts after pruning (38 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 536 | 13 | 1 549 |
| Fresh | 10 | 25 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 550 | 40 | 1 590 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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))) | |
| 40.2% | (+.f64 (+.f64 (/.f64 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) | |
| 90.7% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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))) |
| 72.5% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.3% | (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 32.0% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 33.6% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 5.9% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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))) | |
| 32.2% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 10.7% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 31.9% | (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 68.6% | (+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 71.0% | (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.3% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 39.2% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) | |
| 34.0% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) | |
| 38.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 3.6% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) | |
| 16.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 9.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) | |
| 28.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 7.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 26.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 31.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 31.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) | |
| 32.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) | |
| ✓ | 1.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
| 45.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 48.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 5.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 53.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) | |
| 29.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) | |
| 26.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) | |
| 58.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) | |
| 7.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
Compiled 3 497 to 1 305 computations (62.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.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(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.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 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.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 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
11 calls:
| 141.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 64.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 46.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 27.0ms | t |
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
| 98.8% | 2 | y |
| 99.3% | 2 | z |
| 96.8% | 1 | t |
| 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))) |
| 98.8% | 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))) |
| 98.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.8% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 99.3% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 96.8% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.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(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (-.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 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (-.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (-.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(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 #s(approx (- (+ y 1) y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 #s(approx (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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 (-.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 24.0ms | z |
| 24.0ms | y |
| 22.0ms | (+.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))) |
| 21.0ms | (+.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))) |
| 20.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | y |
| 98.8% | 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 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 98.8% | 2 | z |
| 98.8% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 98.8% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 98.8% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 85 to 83 computations (2.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
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#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
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(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.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(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
7 calls:
| 23.0ms | z |
| 20.0ms | y |
| 18.0ms | (+.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))) |
| 18.0ms | (+.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))) |
| 17.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | y |
| 98.5% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 98.7% | 2 | z |
| 98.7% | 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))) |
| 98.7% | 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))) |
| 98.7% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 85 to 83 computations (2.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) 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(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (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(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.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(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.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))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 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))) |
7 calls:
| 21.0ms | x |
| 18.0ms | (+.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))) |
| 18.0ms | z |
| 18.0ms | (+.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))) |
| 18.0ms | (+.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 |
|---|---|---|
| 98.5% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 98.5% | 2 | x |
| 98.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.4% | 2 | z |
| 98.5% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 98.5% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 85 to 83 computations (2.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) 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(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (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(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 (/.f64 #s(literal 1/2 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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.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 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (+ (* (sqrt (/ 1 y)) 1/2) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 y) (/.f64 y (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) y))) (-.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 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (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))) |
9 calls:
| 18.0ms | z |
| 18.0ms | x |
| 18.0ms | y |
| 18.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | y |
| 98.4% | 2 | z |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 98.4% | 2 | x |
| 98.4% | 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))) |
| 98.4% | 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))) |
| 98.4% | 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))) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 93 to 96 computations (-3.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) 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(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
9 calls:
| 14.0ms | z |
| 14.0ms | (+.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))) |
| 14.0ms | x |
| 13.0ms | y |
| 13.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 97.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.4% | 2 | y |
| 98.4% | 2 | z |
| 98.4% | 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))) |
| 98.4% | 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))) |
| 98.4% | 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))) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 98.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 93 to 96 computations (-3.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (fma.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ y 1)) (sqrt y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) 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(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) #s(approx (- (sqrt (+ t 1)) (sqrt t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
11 calls:
| 17.0ms | t |
| 17.0ms | x |
| 14.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 14.0ms | (+.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 | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 95.6% | 2 | x |
| 89.1% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 89.1% | 1 | t |
| 95.4% | 2 | y |
| 95.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 95.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 92.7% | 2 | z |
| 95.6% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 95.6% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 92.7% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 16.0ms | (+.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))) |
| 15.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 15.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 12.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | y |
| 69.0% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 96.6% | 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))) |
| 96.6% | 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))) |
| 69.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 73.2% | 4 | x |
| 69.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 85 to 83 computations (2.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (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))) |
| 9.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 96.4% | 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 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
2 calls:
| 21.0ms | (+.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))) |
| 9.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 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))) |
| 96.9% | 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 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt 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 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x)))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ y 1)) (sqrt y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
6 calls:
| 242.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 13.0ms | (+.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 | t |
| 10.0ms | z |
| 9.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | t |
| 58.9% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 82.8% | 2 | z |
| 82.8% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 90.8% | 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))) |
| 90.8% | 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 70 to 69 computations (1.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x))))) |
2 calls:
| 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))) |
| 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 |
|---|---|---|
| 86.7% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 86.7% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+.f64 (/.f64 z (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) #s(approx (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
2 calls:
| 7.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 7.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 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))) |
| 86.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 #s(approx (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
2 calls:
| 11.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 6.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 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))) |
| 86.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 z)) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
2 calls:
| 6.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 6.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 85.4% | 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 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
2 calls:
| 42.0ms | (+.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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 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))) |
| 85.1% | 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))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1/2 binary64)) z (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
2 calls:
| 4.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 4.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 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))) |
| 84.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
2 calls:
| 4.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 4.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 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))) |
| 84.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (- (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
2 calls:
| 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 |
|---|---|---|
| 84.5% | 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))) |
| 84.5% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 54 to 43 computations (20.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
10 calls:
| 14.0ms | (+.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 2 | t |
| 64.0% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 63.8% | 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))) |
| 51.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 51.6% | 2 | x |
| 64.0% | 2 | y |
| 52.8% | 2 | z |
| 48.3% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 63.8% | 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))) |
| 63.8% | 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 94 to 100 computations (-6.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
11 calls:
| 7.0ms | x |
| 3.0ms | t |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.4% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 29.4% | 1 | t |
| 29.4% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 29.4% | 1 | x |
| 29.4% | 1 | z |
| 29.4% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 29.4% | 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))) |
| 29.4% | 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))) |
| 29.4% | 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))) |
| 29.4% | 1 | y |
| 29.4% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 #s(approx (+ (sqrt z) (sqrt y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (sqrt.f64 z)) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 #s(approx (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
11 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | y |
| 7.6% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 7.6% | 1 | x |
| 7.6% | 1 | z |
| 7.6% | 1 | t |
| 7.6% | 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))) |
| 7.6% | 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))) |
| 7.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 7.6% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 7.6% | 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))) |
| 7.6% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 101 to 109 computations (-7.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
11 calls:
| 25.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 1.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 1.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | x |
| 1.7% | 1 | y |
| 1.7% | 1 | t |
| 1.7% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 1.7% | 1 | z |
| 1.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 1.7% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 1.7% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 1.7% | 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))) |
| 1.7% | 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))) |
| 1.7% | 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))) |
Compiled 101 to 109 computations (-7.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.996210241690278e-6 | 7.980420650710585e-5 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.4831312000751495e-6 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.4831312000751495e-6 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9996022261678524 | 0.9999352441096978 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.146331008752418 | 1.797149790084954 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.4831312000751495e-6 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 3.757802320368381e-15 | 4.193596893304369e-9 |
| 39.0ms | 128× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 529 to 454 computations (14.2% saved)
ival-sqrt: 14.0ms (40.5% of total)adjust: 8.0ms (23.1% of total)ival-add: 7.0ms (20.3% of total)ival-sub: 5.0ms (14.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.0000014831312 |
| 0.0ms | 9.274364856537431e-6 | 6.772301912860712e-5 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.0000014831312 |
| 0.0ms | 6.772301912860712e-5 | 0.03362034637433098 |
Compiled 34 to 32 computations (5.9% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 1.0000234070430452 | 1.0019851959727362 |
| 0.0ms | 6.772301912860712e-5 | 0.03362034637433098 |
Compiled 34 to 32 computations (5.9% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 1.0000234070430452 | 1.0019851959727362 |
| 0.0ms | 6.772301912860712e-5 | 0.03362034637433098 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 1.0000234070430452 | 1.0019851959727362 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 1.0000234070430452 | 1.0019851959727362 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 1.0000234070430452 | 1.0019851959727362 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 0.9999999999982103 | 1.0 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000029962102417 | 2.000079804206507 |
| 0.0ms | 0.9999999999982103 | 1.0 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.0000014831312 |
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.0000014831312 |
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.0000014831312 |
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.4901161193847656e-8 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | egg-herbie |
| 168× | +-commutative-binary64-+.f64 |
| 64× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 24× | *-commutative-binary64-*.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 4973 |
| 1 | 389 | 4973 |
| 2 | 433 | 4973 |
| 3 | 456 | 4973 |
| 4 | 467 | 4973 |
| 5 | 468 | 4973 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.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 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))) |
(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 2251349453722511/2251799813685248 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 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)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 3/2 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 y)) (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)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 x #s(literal 1239148965104995/302231454903657293676544 binary64)) (+.f64 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.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 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.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 5902958103587057/590295810358705651712 binary64)) (+.f64 (+.f64 #s(approx (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(approx (- (sqrt (+ z 1)) (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 #s(approx (+ (+ (+ (* 1/2 x) 1) (sqrt (+ y 1))) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1125899906840609/1125899906842624 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1125928054340295/562949953421312 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) (-.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 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(approx (+ (/ (+ (* (- (+ y 1) y) (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt y) (sqrt (+ y 1))) (- (+ 1 x) x))) (* (+ (sqrt y) (sqrt (+ y 1))) (+ (sqrt x) (sqrt (+ 1 x))))) (- (sqrt (+ z 1)) (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))))))))) (+.f64 (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 z #s(literal 1 binary64)) z) (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #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)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (+ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (+ y 1) y) (+ (sqrt y) (sqrt (+ y 1))))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)))) (/.f64 (-.f64 (+.f64 t #s(literal 1 binary64)) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))))) |
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal 1/2 binary64)) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z #s(literal 1 binary64)))))) (+.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) (if (<=.f64 (+.f64 (+.f64 (-.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 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 2 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 #s(approx (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) #s(approx (+ (+ (sqrt (+ y 1)) 1) (sqrt (+ z 1))) (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 x)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (+ (sqrt (+ z 1)) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) #s(approx (- (+ (+ (* (sqrt (/ 1 z)) 1/2) (sqrt (+ y 1))) (sqrt (+ x 1))) (+ (sqrt y) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (+ (/ (- (+ z 1) (+ 1 y)) (- (sqrt (+ z 1)) (sqrt (+ 1 y)))) (sqrt (+ x 1))) (+ (+ (sqrt z) (sqrt y)) (sqrt x))) (neg.f64 (sqrt.f64 y)))) |
| 7 854× | lower-+.f64 |
| 7 854× | lower-+.f32 |
| 7 816× | lower-+.f64 |
| 7 816× | lower-+.f32 |
| 7 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 787 |
| 0 | 151 | 787 |
| 1 | 774 | 738 |
| 0 | 8530 | 732 |
| 0 | 1265 | 17886 |
| 1 | 4349 | 16956 |
| 0 | 8773 | 16218 |
| 0 | 1839 | 39109 |
| 1 | 6502 | 37021 |
| 0 | 8235 | 35920 |
| 0 | 2064 | 32180 |
| 1 | 7262 | 31220 |
| 0 | 8270 | 30010 |
| 0 | 24 | 97 |
| 0 | 43 | 97 |
| 1 | 208 | 97 |
| 2 | 2164 | 97 |
| 0 | 9211 | 97 |
| 0 | 552 | 4159 |
| 1 | 1736 | 3889 |
| 2 | 6232 | 3889 |
| 0 | 8030 | 3682 |
| 0 | 71 | 533 |
| 0 | 117 | 533 |
| 1 | 599 | 499 |
| 2 | 7079 | 499 |
| 0 | 8131 | 499 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 4 014 to 1 805 computations (55% saved)
Compiled 4 954 to 730 computations (85.3% saved)
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