
Time bar (total: 29.0s)
| 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 36 to 25 computations (30.6% saved)
ival-sqrt: 53.0ms (41% of total)ival-add: 43.0ms (33.2% of total)ival-sub: 32.0ms (24.7% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| 3.6s | 7571× | 1 | valid |
| 3.3s | 16320× | 0 | invalid |
| 143.0ms | 685× | 0 | valid |
ival-sqrt: 2.5s (45.1% of total)ival-add: 1.6s (28.3% of total)ival-sub: 1.0s (18.6% of total)backward-pass: 400.0ms (7.3% of total)const: 41.0ms (0.7% of total)| 2× | egg-herbie |
| 3918× | --lowering--.f32 |
| 3918× | --lowering--.f64 |
| 3904× | +-lowering-+.f64 |
| 3904× | +-lowering-+.f32 |
| 1802× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 470 |
| 1 | 280 | 447 |
| 2 | 1632 | 447 |
| 3 | 6540 | 447 |
| 0 | 24 | 30 |
| 1 | 55 | 29 |
| 2 | 220 | 29 |
| 3 | 1630 | 29 |
| 4 | 5493 | 29 |
| 0 | 8399 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t)))) |
(neg (+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t))))) |
(+ (+ (+ (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ x 1)) (sqrt x))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(sum5 (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (- 1 x)) (sqrt (neg x))) (sqrt (+ 1 z)) (neg (sqrt z)) (- (sqrt (+ 1 t)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(sum5 (sqrt (+ x 1)) (neg (sqrt x)) (- (sqrt (- 1 y)) (sqrt (neg y))) (- (sqrt (+ 1 z)) (sqrt z)) (- (sqrt (+ 1 t)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t))) |
(sum5 (sqrt (+ x 1)) (neg (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt (- 1 z)) (sqrt (neg z))) (- (sqrt (+ 1 t)) (sqrt t))) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t)))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (- 1 t))) (sqrt (neg t))) |
(neg (+ (+ (+ (- (sqrt (+ (neg x) 1)) (sqrt (neg x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))) |
(- (- (sqrt t) (sqrt (+ 1 t))) (sum5 (sqrt (+ 1 y)) (neg (sqrt y)) (sqrt (- 1 x)) (neg (sqrt (neg x))) (- (sqrt (+ 1 z)) (sqrt z)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ (neg y) 1)) (sqrt (neg y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))) |
(- (- (sqrt t) (sqrt (+ 1 t))) (sum5 (sqrt (+ x 1)) (neg (sqrt x)) (sqrt (- 1 y)) (neg (sqrt (neg y))) (- (sqrt (+ 1 z)) (sqrt z)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ (neg z) 1)) (sqrt (neg z)))) (- (sqrt (+ t 1)) (sqrt t)))) |
(- (- (sqrt t) (sqrt (+ 1 t))) (- (sum5 (sqrt (+ x 1)) (neg (sqrt x)) (sqrt (+ 1 y)) (neg (sqrt y)) (sqrt (- 1 z))) (sqrt (neg z)))) |
(neg (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ (neg t) 1)) (sqrt (neg t))))) |
(- (- (sqrt (neg t)) (sqrt (- 1 t))) (sum4 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 y)) (sqrt y)) (sqrt (+ 1 z)) (neg (sqrt z)))) |
(+ (+ (+ (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ z 1)) (sqrt z)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ t 1)) (sqrt t))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ x 1)) (sqrt x))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ z 1)) (sqrt z))) |
(- (sum5 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ 1 t)) (sqrt t)) (sqrt (+ 1 z)) (neg (sqrt z)) (sqrt (+ 1 y))) (sqrt y)) |
(sort x y z t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 238 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 177 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 83 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 17 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 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 | - | z |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | 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 | - | (sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 y) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 1.6s | 470× | 1 | valid |
| 15.0ms | 42× | 0 | valid |
Compiled 321 to 74 computations (76.9% saved)
ival-sqrt: 63.0ms (36.2% of total)ival-add: 49.0ms (28.1% of total)backward-pass: 35.0ms (20.1% of total)ival-sub: 27.0ms (15.5% of total)const: 1.0ms (0.6% of total)Compiled 35 to 24 computations (31.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.4% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
| ▶ | 90.5% | (+.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 70 to 48 computations (31.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
| ✓ | 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))) |
| 4556× | +-lowering-+.f64 |
| 4556× | +-lowering-+.f32 |
| 1920× | --lowering--.f32 |
| 1920× | --lowering--.f64 |
| 1624× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 274 |
| 1 | 94 | 271 |
| 2 | 380 | 271 |
| 3 | 2841 | 271 |
| 4 | 5355 | 271 |
| 0 | 8423 | 271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (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 (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (+ z 1)) |
(+ z 1) |
z |
(sqrt z) |
(- (sqrt (+ t 1)) (sqrt t)) |
(sqrt (+ t 1)) |
(+ t 1) |
t |
(sqrt t) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(sqrt y) |
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))) |
(sqrt (+ 1 z)) |
(+ 1 z) |
z |
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))) |
(sqrt (+ 1 t)) |
(+ 1 t) |
t |
(+ (sqrt z) (sqrt t)) |
(sqrt z) |
(sqrt t) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ z 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ z 1) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
(- (sqrt (+ t 1)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ t 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ t 1) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 y)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(sqrt (+ 1 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
z |
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
t |
(+ (sqrt z) (sqrt t)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 t)) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt t) |
(sqrt.f64 t) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
| ✓ | accuracy | 21.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 579.0ms | 235× | 1 | valid |
| 9.0ms | 21× | 0 | valid |
Compiled 282 to 37 computations (86.9% saved)
ival-sub: 141.0ms (43.5% of total)backward-pass: 109.0ms (33.6% of total)ival-sqrt: 40.0ms (12.3% of total)ival-add: 33.0ms (10.2% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))))> |
#<alt (sqrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (- (sqrt (+ t 1)) (sqrt t))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))> |
#<alt (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))> |
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (- 1 (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (* 1/2 t)) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (+ (sqrt t) (sqrt z)))> |
#<alt (* -1 (sqrt z))> |
#<alt (- (* 1/2 (sqrt (/ 1 t))) (sqrt z))> |
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))> |
#<alt (- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z))> |
#<alt (* -1 (sqrt z))> |
#<alt (- (* -1/2 (sqrt (/ 1 t))) (sqrt z))> |
#<alt (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (sqrt z))> |
#<alt (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (sqrt z))> |
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))> |
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))> |
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))> |
#<alt (- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z)))> |
#<alt (* -1 (sqrt z))> |
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))> |
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))> |
#<alt (* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))))> |
#<alt (* (sqrt z) (pow (sqrt -1) 2))> |
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (- (+ 1 (sqrt (+ 1 t))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (sqrt (+ 1 t)) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 z)))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t))> |
#<alt (- (sqrt (+ 1 t)) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (* -1/2 (sqrt (/ 1 z)))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))) (sqrt t))> |
#<alt (- (+ 1 (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 t))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (sqrt (+ 1 z)) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z))> |
#<alt (- (sqrt (+ 1 z)) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))) (sqrt z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | x | @ | -inf | (sqrt (+ x 1)) |
| 1.0ms | y | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | z | @ | inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | z | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 2486× | +-lowering-+.f64 |
| 2486× | +-lowering-+.f32 |
| 2248× | fma-lowering-fma.f32 |
| 2248× | fma-lowering-fma.f64 |
| 1866× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 165 |
| 1 | 339 | 162 |
| 2 | 3840 | 162 |
| 0 | 8513 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (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 (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))))) |
(sqrt (+ x 1)) |
(+ x 1) |
(- (sqrt (+ t 1)) (sqrt t)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t))) |
(+ (sqrt (+ 1 z)) (- (sqrt (+ 1 t)) (+ (sqrt z) (sqrt t)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
| Outputs |
|---|
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)))) |
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(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 z)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 z))) (sqrt.f64 t)) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 z)) (sqrt.f64 t)) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (sqrt.f64 z)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) #s(literal 2 binary64))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y))) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
| 1× | egg-herbie |
| 5940× | +-lowering-+.f64 |
| 5940× | +-lowering-+.f32 |
| 3692× | --lowering--.f32 |
| 3692× | --lowering--.f64 |
| 1800× | associate--l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 651 | 6678 |
| 1 | 2175 | 5975 |
| 2 | 7417 | 5972 |
| 0 | 8013 | 5972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
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(* (sqrt z) (pow (sqrt -1) 2)) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(- (+ 1 (sqrt (+ 1 t))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 z))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt t) (sqrt z))) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 z)))) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t)) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (* -1/2 (sqrt (/ 1 z)))) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (sqrt t)) |
(- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))) (sqrt t)) |
(- (+ 1 (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 t))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))) (+ (sqrt t) (sqrt z))) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z)) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))) (sqrt z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
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(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
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(sqrt x) |
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(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
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(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 x) |
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(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
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x |
(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
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(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
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(- 1 (sqrt z)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
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(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) 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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(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
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(* -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)) |
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(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
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(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
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(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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) |
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(* -1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(- 1 (+ (sqrt t) (sqrt z))) |
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 t)) (sqrt.f64 z)) |
(- (+ 1 (* 1/2 t)) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (+ (sqrt t) (sqrt z))) |
(+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 t)) (sqrt.f64 z))) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(* -1 (sqrt z)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 z)) |
(- (* 1/2 (sqrt (/ 1 t))) (sqrt z)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z)) |
(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))) |
(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z)) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (sqrt.f64 z))) |
(* -1 (sqrt z)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 z)) |
(- (* -1/2 (sqrt (/ 1 t))) (sqrt z)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z)) |
(- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (sqrt z)) |
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 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 z)) |
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 z)) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)) |
(* -1 (sqrt z)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 z)) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 z)) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* -1 (* z (- (* -1 (/ (- (sqrt (+ 1 t)) (sqrt t)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 z (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(- (+ 1 (sqrt (+ 1 t))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 z))) (+ (sqrt t) (sqrt z))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(- (+ (sqrt (+ 1 t)) (* 1/2 (sqrt (/ 1 z)))) (sqrt t)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))) (sqrt t)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))) (sqrt.f64 t)))) |
(- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t)) |
(+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(- (+ (sqrt (+ 1 t)) (* -1/2 (sqrt (/ 1 z)))) (sqrt t)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) (sqrt t)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z)) (sqrt.f64 t)) |
(- (+ (sqrt (+ 1 t)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))) (sqrt t)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) z)) (sqrt.f64 t)) |
(- (+ 1 (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 t))) (+ (sqrt t) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 t #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 t))) (sqrt.f64 z)) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))) (+ (sqrt t) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z)) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (sqrt.f64 z)))) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) t) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) t) (sqrt.f64 z))) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
Compiled 32219 to 2458 computations (92.4% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 22 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 674 | 22 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| 33.3% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) | |
| 84.1% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) | |
| ▶ | 63.8% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
| 84.7% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))))) | |
| 66.2% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.8% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 6.6% | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) | |
| 91.0% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 81.4% | (+.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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 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 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 91.0% | (+.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 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
| 84.8% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 63.9% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.6% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 31.7% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.2% | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.1% | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 11.1% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (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))) |
| 42.0% | (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 44.4% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 44.8% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
Compiled 1612 to 1098 computations (31.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 256 | (-.f64 (+.f64 #s(literal 1 binary64) t) t) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | 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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (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))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (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))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 256 | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 5474× | +-lowering-+.f64 |
| 5474× | +-lowering-+.f32 |
| 3018× | --lowering--.f32 |
| 3018× | --lowering--.f64 |
| 1768× | sub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 657 |
| 1 | 177 | 634 |
| 2 | 714 | 629 |
| 3 | 5154 | 625 |
| 0 | 8579 | 625 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z)))) |
(- (+ 1 z) z) |
(+ 1 z) |
z |
(+ (sqrt z) (sqrt (+ 1 z))) |
(sqrt z) |
(sqrt (+ 1 z)) |
(- (sqrt (+ t 1)) (sqrt t)) |
(sqrt (+ t 1)) |
(+ t 1) |
t |
(sqrt t) |
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(sqrt (+ 1 y)) |
(+ 1 y) |
1 |
y |
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(sqrt (+ 1 x)) |
(+ 1 x) |
x |
(sqrt x) |
(sqrt y) |
(- (sqrt (+ t 1)) (sqrt t)) |
(sqrt (+ t 1)) |
(+ t 1) |
t |
(sqrt t) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) |
(* 1/2 (sqrt (/ 1 x))) |
1/2 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (+ z 1)) |
(+ z 1) |
z |
(sqrt z) |
(- (sqrt (+ t 1)) (sqrt t)) |
(sqrt (+ t 1)) |
(+ t 1) |
t |
(sqrt t) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(sqrt y) |
(+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))) |
(* 1/2 (sqrt (/ 1 z))) |
1/2 |
(sqrt (/ 1 z)) |
(/ 1 z) |
z |
(- (sqrt (+ 1 t)) (sqrt t)) |
(sqrt (+ 1 t)) |
(+ 1 t) |
t |
(sqrt t) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 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 (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (+ z 1)) |
(+ z 1) |
z |
(sqrt z) |
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))) |
(- (+ 1 t) t) |
(+ 1 t) |
t |
(+ (sqrt t) (sqrt (+ 1 t))) |
(sqrt t) |
(sqrt (+ 1 t)) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(- (+ 1 z) z) |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+ (sqrt z) (sqrt (+ 1 z))) |
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt (+ 1 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(- (sqrt (+ t 1)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ t 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ t 1) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(sqrt x) |
(sqrt.f64 x) |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ t 1)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ t 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ t 1) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ z 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ z 1) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
(- (sqrt (+ t 1)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ t 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ t 1) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* 1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
z |
(- (sqrt (+ 1 t)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ z 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ z 1) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(- (+ 1 t) t) |
#s(literal 1 binary64) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
t |
(+ (sqrt t) (sqrt (+ 1 t))) |
(+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 12.2% | (-.f64 (+.f64 #s(literal 1 binary64) t) t) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| ✓ | accuracy | 72.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 38.7% | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 633.0ms | 234× | 1 | valid |
| 21.0ms | 21× | 0 | valid |
| 3.0ms | 1× | 2 | valid |
Compiled 694 to 60 computations (91.4% saved)
ival-add: 101.0ms (36.5% of total)backward-pass: 64.0ms (23.1% of total)ival-sqrt: 56.0ms (20.3% of total)ival-sub: 34.0ms (12.3% of total)ival-div: 15.0ms (5.4% of total)ival-mult: 7.0ms (2.5% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z)))))> |
#<alt (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))> |
#<alt (- (+ 1 z) z)> |
#<alt (+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))> |
#<alt (sqrt (+ 1 y))> |
#<alt (+ 1 y)> |
#<alt (+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t)))))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (sqrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))))> |
#<alt (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))> |
#<alt (- (+ 1 t) t)> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (- (sqrt (+ t 1)) (sqrt t))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (sqrt (/ 1 x))> |
#<alt (- (sqrt (+ 1 t)) (sqrt t))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (sqrt (/ 1 z))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
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#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | t | @ | 0 | (+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))) |
| 2.0ms | y | @ | -inf | (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) |
| 2.0ms | y | @ | 0 | (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) |
| 1.0ms | t | @ | 0 | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))) |
| 1.0ms | z | @ | 0 | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 2796× | *-lowering-*.f32 |
| 2796× | *-lowering-*.f64 |
| 2440× | /-lowering-/.f32 |
| 2440× | /-lowering-/.f64 |
| 2250× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 380 |
| 1 | 593 | 308 |
| 2 | 7491 | 308 |
| 0 | 8637 | 308 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z))))) |
(/ (- (+ 1 z) z) (+ (sqrt z) (sqrt (+ 1 z)))) |
(- (+ 1 z) z) |
(+ (+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (sqrt (+ 1 y)) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(sqrt (+ 1 y)) |
(+ 1 y) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ y 1)) (sqrt y))) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (* 1/2 (sqrt (/ 1 z))) (- (sqrt (+ 1 t)) (sqrt t))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t))))) |
(/ (- (+ 1 t) t) (+ (sqrt t) (sqrt (+ 1 t)))) |
(- (+ 1 t) t) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(- (sqrt (+ t 1)) (sqrt t)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (/ 1 x)) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (/ 1 z)) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 z)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(/.f64 (*.f64 (*.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 z (+.f64 #s(literal 1 binary64) z))) |
(pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)))) (+.f64 z (-.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 t (+.f64 #s(literal 1 binary64) t)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) t)) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) t) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (+.f64 (*.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 t (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 t (+.f64 t (+.f64 #s(literal 1 binary64) t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 t (+.f64 #s(literal 1 binary64) t))) |
(pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 t (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 3/2 binary64)))) (-.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (pow.f64 (*.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (+.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (/.f64 y (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) z))) |
(pow.f64 z #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 6344× | +-lowering-+.f64 |
| 6344× | +-lowering-+.f32 |
| 2860× | --lowering--.f32 |
| 2860× | --lowering--.f64 |
| 2616× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1427 | 13746 |
| 1 | 5111 | 12965 |
| 2 | 7220 | 12920 |
| 0 | 8021 | 12920 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) y))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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y |
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y |
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(- 1 (sqrt x)) |
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(- (+ 1 (* 1/2 x)) (sqrt x)) |
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(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
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(* -1/2 (sqrt (/ 1 x))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
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(* -1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) t)) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
Compiled 80105 to 4811 computations (94% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1719 | 23 | 1742 |
| Fresh | 10 | 7 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1734 | 30 | 1764 |
| Status | Accuracy | Program |
|---|---|---|
| 33.3% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) | |
| 65.6% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 5.7% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.2% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 5.1% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) | |
| 64.1% | (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 6.6% | (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| ▶ | 11.1% | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
| 31.3% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 44.4% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.3% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 84.1% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) | |
| 37.2% | (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 84.8% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| 64.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.6% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 42.0% | (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 11.8% | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 27.2% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.3% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 63.2% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| ▶ | 62.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| 62.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| ▶ | 62.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| 63.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 67.2% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 5.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 11.1% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1792 to 1262 computations (29.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (-.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| 4364× | +-lowering-+.f64 |
| 4364× | +-lowering-+.f32 |
| 2964× | --lowering--.f32 |
| 2964× | --lowering--.f64 |
| 2168× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 467 |
| 1 | 140 | 455 |
| 2 | 502 | 455 |
| 3 | 2761 | 455 |
| 4 | 6225 | 454 |
| 0 | 8209 | 454 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 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 (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (+ z 1)) |
(+ z 1) |
z |
(sqrt z) |
(* 1/2 (sqrt (/ 1 t))) |
1/2 |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
(* 1/2 (sqrt (/ 1 x))) |
1/2 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y)))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y))) |
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(* 1/2 (sqrt (/ 1 t))) |
1/2 |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(sqrt y) |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z)))) |
1/2 |
(+ (sqrt (/ 1 t)) (sqrt (/ 1 z))) |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
(sqrt (/ 1 z)) |
(/ 1 z) |
z |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(sqrt y) |
(+ (/ 1/2 (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))))) |
(/ 1/2 (sqrt x)) |
1/2 |
(sqrt x) |
x |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 1 y)) |
(+ 1 y) |
1 |
y |
(sqrt y) |
(+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(sqrt (+ 1 t)) |
(+ 1 t) |
t |
(sqrt t) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(sqrt (+ 1 z)) |
(+ 1 z) |
z |
(sqrt z) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ z 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ z 1) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
x |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
x |
(- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (sqrt (/ 1 t)) (sqrt (/ 1 z))) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
z |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt y) |
(sqrt.f64 y) |
(+ (/ 1/2 (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(/ 1/2 (sqrt x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(sqrt y) |
(sqrt.f64 y) |
(+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt t) |
(sqrt.f64 t) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ 1 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
| ✓ | accuracy | 11.9% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 93.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | accuracy | 70.7% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 94.0% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | accuracy | 70.7% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 771.0ms | 235× | 1 | valid |
| 19.0ms | 21× | 0 | valid |
Compiled 501 to 55 computations (89% saved)
ival-sqrt: 101.0ms (37.3% of total)backward-pass: 54.0ms (20% of total)ival-add: 48.0ms (17.7% of total)ival-sub: 43.0ms (15.9% of total)ival-div: 14.0ms (5.2% of total)ival-mult: 10.0ms (3.7% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t))))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y))))> |
#<alt (sqrt (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y)))> |
#<alt (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (+ (/ 1/2 (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z)))))> |
#<alt (/ 1/2 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (sqrt (/ 1 t))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt (/ 1 z))> |
#<alt (- (sqrt (+ 1 t)) (sqrt t))> |
#<alt (- (sqrt (+ 1 z)) (sqrt z))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
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#<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))> |
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#<alt 1> |
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#<alt 1> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (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 y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt t) (sqrt y)))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (sqrt (/ 1 z))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | (+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))) |
| 1.0ms | x | @ | -inf | (+ (/ 1/2 (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))))) |
| 1.0ms | t | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
| 1.0ms | x | @ | 0 | (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y))) |
| 1.0ms | t | @ | inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
| 1× | batch-egg-rewrite |
| 2502× | *-lowering-*.f32 |
| 2502× | *-lowering-*.f64 |
| 2100× | /-lowering-/.f32 |
| 2100× | /-lowering-/.f64 |
| 2042× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 273 |
| 1 | 493 | 253 |
| 2 | 5471 | 253 |
| 0 | 8030 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 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)) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y)))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 t)))) (+ (sqrt x) (sqrt y))) |
(+ (sqrt (+ 1 x)) (- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(+ (/ 1/2 (sqrt x)) (+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z))))) |
(/ 1/2 (sqrt x)) |
(sqrt x) |
(+ (- (sqrt (+ 1 y)) (sqrt y)) (+ (- (sqrt (+ 1 t)) (sqrt t)) (- (sqrt (+ 1 z)) (sqrt z)))) |
(- (sqrt (+ z 1)) (sqrt z)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (/ 1 t)) |
(+ (sqrt x) (sqrt y)) |
(sqrt (/ 1 z)) |
(- (sqrt (+ 1 t)) (sqrt t)) |
(- (sqrt (+ 1 z)) (sqrt z)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
| 1× | egg-herbie |
| 5764× | +-lowering-+.f64 |
| 5764× | +-lowering-+.f32 |
| 4524× | --lowering--.f32 |
| 4524× | --lowering--.f64 |
| 1954× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1058 | 11114 |
| 1 | 3690 | 10149 |
| 0 | 9201 | 10149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (+ (* 1/2 (sqrt t)) (* t (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (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)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (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)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt y))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (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 t))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (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 y))) |
(- (+ (sqrt (+ 1 t)) (sqrt (+ 1 y))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt t) (sqrt y))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t))))) (+ (sqrt y) (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
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(sqrt.f64 x) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) (neg.f64 x)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 t))) |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/8 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)))) (neg.f64 t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) (*.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 t)) |
(- 1 (sqrt z)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) (sqrt.f64 z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z))) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 z))) |
(* 1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z 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) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64)))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (*.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 z)) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (sqrt.f64 y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (neg.f64 y)) |
Compiled 45512 to 3464 computations (92.4% saved)
40 alts after pruning (39 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1239 | 18 | 1257 |
| Fresh | 4 | 21 | 25 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1247 | 40 | 1287 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.8% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
| ▶ | 11.1% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| 33.3% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) | |
| 65.6% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 43.7% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 39.4% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 5.7% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.2% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 5.1% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) | |
| 64.1% | (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 6.6% | (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 44.4% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.3% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 84.1% | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) | |
| ▶ | 24.2% | (+.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 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| 64.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.6% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 84.3% | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| 42.0% | (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 11.8% | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.2% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 63.7% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) | |
| 62.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 38.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) | |
| ▶ | 31.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
| 63.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 37.0% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) | |
| 27.2% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) | |
| 37.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 55.5% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) | |
| 32.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) | |
| 35.2% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 67.2% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 60.5% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 5.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) | |
| 11.1% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 11.1% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 6.4% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
Compiled 2146 to 1525 computations (28.9% saved)
| 1× | egg-herbie |
Found 18 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 #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 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 t) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| 4678× | +-lowering-+.f64 |
| 4678× | +-lowering-+.f32 |
| 1960× | --lowering--.f32 |
| 1960× | --lowering--.f64 |
| 1938× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 503 |
| 1 | 161 | 493 |
| 2 | 597 | 493 |
| 3 | 3447 | 493 |
| 4 | 6174 | 492 |
| 0 | 8472 | 492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) |
1 |
(- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x)) |
(* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) |
x |
(+ 1/2 (* x (+ (* x 1/16) -1/8))) |
1/2 |
(* x (+ (* x 1/16) -1/8)) |
(+ (* x 1/16) -1/8) |
(* x 1/16) |
1/16 |
-1/8 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(sqrt (+ z 1)) |
(+ z 1) |
z |
(sqrt z) |
(* 1/2 (sqrt (/ 1 t))) |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
(/ 1/2 (sqrt x)) |
1/2 |
(sqrt x) |
x |
(+ (sqrt (+ 1 x)) (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x)) |
(* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) |
1/2 |
(+ (sqrt (/ 1 t)) (sqrt (/ 1 y))) |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
(sqrt (/ 1 y)) |
(/ 1 y) |
y |
(sqrt x) |
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t) |
(+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) |
(* 1/2 (sqrt t)) |
1/2 |
(sqrt t) |
t |
(* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)))) |
(+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(sqrt y) |
(sqrt x) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (+ y 1)) |
(+ y 1) |
y |
(sqrt y) |
(- 1 (sqrt z)) |
(sqrt z) |
z |
(* 1/2 (sqrt (/ 1 t))) |
1/2 |
(sqrt (/ 1 t)) |
(/ 1 t) |
t |
| Outputs |
|---|
(+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) |
(+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) #s(literal -1 binary64)))) |
(+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x)) |
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) |
(* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) |
x |
(+ 1/2 (* x (+ (* x 1/16) -1/8))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ (* x 1/16) -1/8)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) |
(+ (* x 1/16) -1/8) |
(+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) |
(* x 1/16) |
(*.f64 x #s(literal 1/16 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
-1/8 |
#s(literal -1/8 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- (sqrt (+ z 1)) (sqrt z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt (+ z 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+ z 1) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(/ 1/2 (sqrt x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (sqrt (+ 1 x)) (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) |
(* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (sqrt (/ 1 t)) (sqrt (/ 1 y))) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) t) |
(+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(* 1/2 (sqrt t)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt t) |
(sqrt.f64 t) |
t |
(* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(sqrt x) |
(sqrt.f64 x) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ y 1)) (sqrt y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt (+ y 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(- 1 (sqrt z)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt z) |
(sqrt.f64 z) |
z |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (/ 1 t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.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))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 94.0% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 99.9% | (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
| ✓ | accuracy | 94.0% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 94.0% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 69.8% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 36.6% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 446.0ms | 157× | 1 | valid |
| 90.0ms | 88× | 0 | valid |
| 38.0ms | 11× | 2 | valid |
Compiled 552 to 57 computations (89.7% saved)
ival-add: 83.0ms (31.7% of total)ival-mult: 51.0ms (19.4% of total)backward-pass: 50.0ms (19.1% of total)ival-sqrt: 38.0ms (14.5% of total)ival-div: 22.0ms (8.4% of total)ival-sub: 17.0ms (6.5% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t))))> |
#<alt (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x)))> |
#<alt (/ 1/2 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (+ (sqrt (+ 1 x)) (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x)))> |
#<alt (sqrt (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t)> |
#<alt (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)))))> |
#<alt (* 1/2 (sqrt t))> |
#<alt (sqrt t)> |
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) (* 1/2 (sqrt (/ 1 t))))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 y))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)))> |
#<alt (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (+ (sqrt (/ 1 (pow x 5))) (* 1/8 (/ 1 x)))))> |
#<alt (* (pow x 3) (- (+ 1/16 (+ (* 1/2 (* (sqrt (/ 1 t)) (/ 1 (pow x 3)))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 y))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 z))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3))))))) (+ (sqrt (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (sqrt y)) (+ (* (/ 1 (pow x 3)) (sqrt z)) (* 1/8 (/ 1 x)))))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) 1/8) x)) 1/16)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))) t)> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (+ (sqrt (/ 1 (pow x 5))) (* 1/8 (/ 1 x)))))> |
#<alt (* (pow x 3) (- (+ 1/16 (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 y))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 z))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))))) (+ (sqrt (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (sqrt y)) (+ (* (/ 1 (pow x 3)) (sqrt z)) (* 1/8 (/ 1 x)))))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) 1/8) x)) 1/16)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z)))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
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#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
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#<alt (* 1/16 (pow x 3))> |
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#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (* 1/8 (/ 1 x)))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8) x)) 1/16)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
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#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
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#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
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#<alt 1> |
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#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
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#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))) t)> |
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#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) t)> |
#<alt (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))))> |
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#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))))))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) t)> |
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#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (* 1/2 (sqrt (/ 1 t))) (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (+ (* 1/2 (sqrt (/ 1 t))) (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))))) t)> |
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#<alt (+ (* 1/2 (sqrt (/ 1 t))) (+ (* y (+ 1/2 (* -1/8 y))) (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))))> |
#<alt (+ (* 1/2 (sqrt (/ 1 t))) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) t)> |
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#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x)))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (- (sqrt (+ 1 x)) (sqrt x))))))> |
#<alt (/ (+ (* 1/2 (sqrt t)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) t)> |
#<alt (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 t))) (- (sqrt (+ 1 x)) (sqrt x))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (* 1/2 (sqrt (/ 1 t))) (- (sqrt (+ 1 x)) (sqrt x))))> |
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#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (sqrt (/ 1 t))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))> |
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))> |
#<alt (+ (* 1/2 (* t x)) (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))))> |
#<alt (+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* -1/8 (* t x)) (* 1/2 t))))> |
#<alt (+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* 1/2 t) (* x (+ (* -1/8 t) (* 1/16 (* t x)))))))> |
#<alt (* t (- (sqrt (+ 1 y)) (sqrt y)))> |
#<alt (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))))> |
#<alt (+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y))))))> |
#<alt (* t (- (sqrt (+ 1 y)) (sqrt y)))> |
#<alt (+ (* -1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (* 1/2 (* t (sqrt x)))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow x 3))))) (* 1/2 (* t (sqrt x))))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))))> |
#<alt (+ (* 1/2 (* t y)) (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))))> |
#<alt (+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* -1/8 (* t y)) (* 1/2 t))))> |
#<alt (+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* 1/2 t) (* y (+ (* -1/8 t) (* 1/16 (* t y)))))))> |
#<alt (* t (- (sqrt (+ 1 x)) (sqrt x)))> |
#<alt (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x))))> |
#<alt (+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))))> |
#<alt (+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x))))))> |
#<alt (* t (- (sqrt (+ 1 x)) (sqrt x)))> |
#<alt (+ (* -1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (* 1/2 (* t (sqrt y)))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* t (sqrt y))))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x))))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | x | @ | 0 | (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x)) |
| 2.0ms | t | @ | inf | (/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t) |
| 2.0ms | t | @ | -inf | (/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t) |
| 1.0ms | x | @ | inf | (+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
| 1.0ms | t | @ | 0 | (+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
| 1× | batch-egg-rewrite |
| 2516× | *-lowering-*.f32 |
| 2516× | *-lowering-*.f64 |
| 1994× | /-lowering-/.f32 |
| 1994× | /-lowering-/.f64 |
| 1982× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 313 |
| 1 | 499 | 298 |
| 2 | 5517 | 298 |
| 0 | 8661 | 298 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+ (+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(+ 1 (- (* x (+ 1/2 (* x (+ (* x 1/16) -1/8)))) (sqrt x))) |
(/ 1/2 (sqrt x)) |
(sqrt x) |
(+ (sqrt (+ 1 x)) (- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
(- (* 1/2 (+ (sqrt (/ 1 t)) (sqrt (/ 1 y)))) (sqrt x)) |
(/ (+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) t) |
(+ (* 1/2 (sqrt t)) (* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))))) |
(* 1/2 (sqrt t)) |
(sqrt t) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) (* 1/2 (sqrt (/ 1 t)))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- 1 (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 y)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x))) |
(* t (+ (sqrt (+ 1 x)) (- (- (sqrt (+ 1 y)) (sqrt y)) (sqrt x)))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (+.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (sqrt.f64 y)))) |
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(*.f64 (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
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(+.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 t (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (*.f64 t (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 t (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 t (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) t (*.f64 t (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
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(/.f64 (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 2 binary64)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 3 binary64))) t) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 2 binary64))) t) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 t (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) t) |
| 1× | egg-herbie |
| 5220× | +-lowering-+.f64 |
| 5220× | +-lowering-+.f32 |
| 3732× | --lowering--.f32 |
| 3732× | --lowering--.f64 |
| 2052× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1004 | 11443 |
| 1 | 3575 | 10687 |
| 0 | 8254 | 10687 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (+ (sqrt (/ 1 (pow x 5))) (* 1/8 (/ 1 x))))) |
(* (pow x 3) (- (+ 1/16 (+ (* 1/2 (* (sqrt (/ 1 t)) (/ 1 (pow x 3)))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 y))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 z))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3))))))) (+ (sqrt (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (sqrt y)) (+ (* (/ 1 (pow x 3)) (sqrt z)) (* 1/8 (/ 1 x))))))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) 1/8) x)) 1/16))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 z))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt y))) |
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(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(sqrt (/ 1 t)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y)) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(+ (* 1/2 (* t x)) (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))) |
(+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* -1/8 (* t x)) (* 1/2 t)))) |
(+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* 1/2 t) (* x (+ (* -1/8 t) (* 1/16 (* t x))))))) |
(* t (- (sqrt (+ 1 y)) (sqrt y))) |
(+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y))))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))))) |
(* t (- (sqrt (+ 1 y)) (sqrt y))) |
(+ (* -1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (* 1/2 (* t (sqrt x)))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow x 3))))) (* 1/2 (* t (sqrt x))))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) |
(+ (* 1/2 (* t y)) (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))))) |
(+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* -1/8 (* t y)) (* 1/2 t)))) |
(+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* 1/2 t) (* y (+ (* -1/8 t) (* 1/16 (* t y))))))) |
(* t (- (sqrt (+ 1 x)) (sqrt x))) |
(+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x))))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))))) |
(* t (- (sqrt (+ 1 x)) (sqrt x))) |
(+ (* -1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (* 1/2 (* t (sqrt y)))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* t (sqrt y))))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(* 1/16 (pow x 3)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (+ (sqrt (/ 1 (pow x 5))) (* 1/8 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* (pow x 3) (- (+ 1/16 (+ (* 1/2 (* (sqrt (/ 1 t)) (/ 1 (pow x 3)))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 y))) (+ (* (/ 1 (pow x 3)) (sqrt (+ 1 z))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3))))))) (+ (sqrt (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (sqrt y)) (+ (* (/ 1 (pow x 3)) (sqrt z)) (* 1/8 (/ 1 x))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 #s(literal 1/8 binary64) x))))) |
(* 1/16 (pow x 3)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8) x)) 1/16))) |
(*.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64))) (neg.f64 x)) #s(literal -1/16 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) 1/8) x)) 1/16))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (neg.f64 x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)) #s(literal -1/8 binary64)) (neg.f64 x)) #s(literal -1/16 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (sqrt z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt x) (sqrt z))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
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(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 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)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))) (sqrt.f64 x)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) y)) (sqrt.f64 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)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) y)) (sqrt.f64 x)) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+ (* 1/2 (* t x)) (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))))) |
(+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 t x))) |
(+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* -1/8 (* t x)) (* 1/2 t)))) |
(+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t x)) (*.f64 #s(literal 1/2 binary64) t)))) |
(+ (* t (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))) (* x (+ (* 1/2 t) (* x (+ (* -1/8 t) (* 1/16 (* t x))))))) |
(+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 x (+.f64 (*.f64 t #s(literal -1/8 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 t x))))))) |
(* t (- (sqrt (+ 1 y)) (sqrt y))) |
(*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y))))) |
(+.f64 (+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))))) |
(+.f64 (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 #s(literal 1/16 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* t (- (sqrt (+ 1 y)) (sqrt y))) |
(*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+ (* -1/2 (* t (sqrt (/ 1 x)))) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (* 1/2 (* t (sqrt x)))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(-.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 t #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 t (sqrt.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 x)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow x 3))))) (* 1/2 (* t (sqrt x))))) x)) (* t (- (sqrt (+ 1 y)) (sqrt y)))) |
(-.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 t #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 t (sqrt.f64 x)))) x)) |
(* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) |
(*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+ (* 1/2 (* t y)) (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))))) |
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* -1/8 (* t y)) (* 1/2 t)))) |
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 #s(literal -1/8 binary64) (*.f64 y t))))) |
(+ (* t (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))) (* y (+ (* 1/2 t) (* y (+ (* -1/8 t) (* 1/16 (* t y))))))) |
(+.f64 (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (+.f64 (*.f64 t #s(literal -1/8 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 y t))))))) |
(* t (- (sqrt (+ 1 x)) (sqrt x))) |
(*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x))))) |
(+.f64 (+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+ (* -1/8 (* t (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))))) |
(+.f64 (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) |
(* t (- (sqrt (+ 1 x)) (sqrt x))) |
(*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(+ (* -1/2 (* t (sqrt (/ 1 y)))) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(+.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (* 1/2 (* t (sqrt y)))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(-.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 t #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 t (sqrt.f64 y)))) y)) |
(+ (* -1 (/ (+ (* -1/8 (* (/ t (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) (+ (* 1/16 (* (/ t (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* t (sqrt y))))) y)) (* t (- (sqrt (+ 1 x)) (sqrt x)))) |
(-.f64 (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 t #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (sqrt.f64 y))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 t (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) y)) |
Compiled 50499 to 3915 computations (92.2% saved)
50 alts after pruning (49 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1297 | 26 | 1323 |
| Fresh | 11 | 23 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1313 | 50 | 1363 |
| Status | Accuracy | Program |
|---|---|---|
| 6.3% | (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) | |
| 38.6% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) | |
| 31.7% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) | |
| 37.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) | |
| 13.7% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) | |
| 64.3% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) | |
| 27.3% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) | |
| 6.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) | |
| ✓ | 11.1% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| 10.9% | (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) | |
| 33.3% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) | |
| 65.6% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 33.6% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 43.7% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 39.4% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 5.7% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 5.1% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) | |
| 64.1% | (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) | |
| 24.2% | (+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 44.4% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 85.2% | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 42.0% | (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 58.6% | (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 7.2% | (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) | |
| 7.2% | (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) | |
| 31.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) | |
| 62.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 38.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) | |
| 63.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 37.0% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) | |
| 37.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 32.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) | |
| 29.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) | |
| 35.2% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 24.2% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 27.9% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 30.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) | |
| 67.2% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 5.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) | |
| 30.3% | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) | |
| 11.1% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| 24.1% | (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) | |
| 3.1% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) | |
| 11.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| 7.9% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) | |
| 6.4% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) | |
| 3.4% | (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
Compiled 3580 to 1325 computations (63% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.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) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
11 calls:
| 42.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 40.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 28.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 28.0ms | z |
| 28.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 93.5% | 2 | y |
| 93.4% | 2 | z |
| 91.5% | 1 | t |
| 99.2% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 99.2% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 97.4% | 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))) |
| 97.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 91.5% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 93.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 91.5% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
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(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
4 calls:
| 36.0ms | (+.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))) |
| 27.0ms | x |
| 25.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 16.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | x |
| 96.3% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 96.3% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.7% | 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 62 to 46 computations (25.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
3 calls:
| 47.0ms | x |
| 18.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 2 | x |
| 97.0% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 91.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 35 to 27 computations (22.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
7 calls:
| 40.0ms | t |
| 21.0ms | y |
| 17.0ms | z |
| 17.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | t |
| 91.8% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 86.9% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 85.2% | 1 | z |
| 85.2% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 87.5% | 2 | y |
| 91.5% | 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))) |
Compiled 67 to 53 computations (20.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
3 calls:
| 35.0ms | (+.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))) |
| 20.0ms | t |
| 16.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 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))) |
| 85.2% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 85.2% | 1 | t |
Compiled 35 to 27 computations (22.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
3 calls:
| 21.0ms | x |
| 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))) |
| 15.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | x |
| 90.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 92.6% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 35 to 27 computations (22.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
1 calls:
| 14.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
2 calls:
| 14.0ms | x |
| 12.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 2 | x |
| 90.0% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (*.f64 (*.f64 t #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
6 calls:
| 62.0ms | x |
| 17.0ms | t |
| 15.0ms | z |
| 14.0ms | y |
| 12.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 2 | t |
| 85.3% | 2 | z |
| 85.3% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 64.3% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 87.2% | 3 | y |
| 77.0% | 3 | x |
Compiled 42 to 34 computations (19% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) |
2 calls:
| 14.0ms | y |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | z |
| 70.2% | 3 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 t #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) t)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))))) t) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) (sqrt.f64 x))))) t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
1 calls:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
1 calls:
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
3 calls:
| 10.0ms | z |
| 9.0ms | x |
| 9.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 1 | t |
| 69.2% | 2 | x |
| 63.1% | 1 | z |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 x)))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 t) (*.f64 y t))) (*.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) t) |
| Outputs |
|---|
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 2 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) t) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
4 calls:
| 8.0ms | t |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | z |
| 37.0% | 1 | t |
| 39.0% | 2 | y |
| 42.8% | 2 | x |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 2 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) t) |
(/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
4 calls:
| 5.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.1% | 1 | t |
| 13.1% | 2 | z |
| 13.1% | 2 | y |
| 13.2% | 2 | x |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
3 calls:
| 4.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.8% | 2 | y |
| 11.1% | 1 | z |
| 13.0% | 2 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.1% | 1 | t |
| 11.1% | 1 | y |
| 11.1% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
4 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.1% | 1 | z |
| 11.1% | 1 | x |
| 11.1% | 1 | y |
| 11.1% | 1 | t |
Compiled 20 to 16 computations (20% saved)
Total -0.2b remaining (-0.4%)
Threshold costs -0.2b (-0.4%)
| Inputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.4% | 1 | z |
| 3.4% | 1 | x |
| 3.4% | 1 | y |
| 3.4% | 1 | t |
Compiled 20 to 16 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000256107538386 | 2.0000962994926814 |
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000256107538386 | 2.0000962994926814 |
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9999753362601878 | 1.9999966981147836 |
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 310838.2824937149 | 87193507.13804588 |
| 41.0ms | 81× | 1 | valid |
| 7.0ms | 47× | 0 | valid |
Compiled 706 to 478 computations (32.3% saved)
ival-sub: 16.0ms (41.3% of total)ival-sqrt: 11.0ms (28.4% of total)ival-add: 7.0ms (18.1% of total)backward-pass: 4.0ms (10.3% of total)const: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0006321658109982 | 1.2617751158313215 |
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0006321658109982 | 1.2617751158313215 |
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006107303856879298 | 0.9880070053630191 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 7.841675224245509e+141 | 1.0578857573841513e+145 |
| 60.0ms | 1.0902481981536992e-11 | 6.083150649284486e-10 |
| 101.0ms | 225× | 1 | valid |
| 2.0ms | 15× | 0 | valid |
Compiled 1023 to 706 computations (31% saved)
ival-sqrt: 30.0ms (46% of total)ival-add: 16.0ms (24.5% of total)backward-pass: 10.0ms (15.3% of total)ival-sub: 9.0ms (13.8% of total)const: 1.0ms (1.5% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 5.110744955374319e+27 | 1.0676502497739717e+31 |
| 56.0ms | 2.0109066672669984e-8 | 12.385747200307138 |
| 99.0ms | 251× | 1 | valid |
| 3.0ms | 21× | 0 | valid |
Compiled 1100 to 777 computations (29.4% saved)
ival-sqrt: 28.0ms (37.7% of total)ival-add: 24.0ms (32.3% of total)backward-pass: 11.0ms (14.8% of total)ival-sub: 10.0ms (13.5% of total)const: 1.0ms (1.3% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 2.0109066672669984e-8 | 12.385747200307138 |
| 48.0ms | 135× | 1 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 528 to 399 computations (24.4% saved)
ival-sqrt: 15.0ms (40.1% of total)ival-add: 9.0ms (24% of total)backward-pass: 8.0ms (21.4% of total)ival-sub: 5.0ms (13.4% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 2.0109066672669984e-8 | 12.385747200307138 |
| 47.0ms | 126× | 1 | valid |
| 3.0ms | 18× | 0 | valid |
Compiled 528 to 399 computations (24.4% saved)
ival-sqrt: 15.0ms (41.6% of total)ival-add: 10.0ms (27.7% of total)backward-pass: 6.0ms (16.6% of total)ival-sub: 5.0ms (13.9% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 81.0ms | 2.0109066672669984e-8 | 12.385747200307138 |
| 73.0ms | 134× | 1 | valid |
| 2.0ms | 10× | 0 | valid |
Compiled 528 to 399 computations (24.4% saved)
ival-sub: 31.0ms (49.6% of total)ival-sqrt: 16.0ms (25.6% of total)ival-add: 9.0ms (14.4% of total)backward-pass: 6.0ms (9.6% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 2.0109066672669984e-8 | 12.385747200307138 |
| 51.0ms | 129× | 1 | valid |
| 2.0ms | 15× | 0 | valid |
Compiled 465 to 354 computations (23.9% saved)
ival-sqrt: 15.0ms (36.3% of total)ival-add: 11.0ms (26.6% of total)ival-sub: 9.0ms (21.8% of total)backward-pass: 6.0ms (14.5% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 110.0ms | 0.00014558313277817015 | 670255.8737723116 |
| 100.0ms | 146× | 1 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 562 to 410 computations (27% saved)
ival-sub: 53.0ms (59.8% of total)ival-sqrt: 19.0ms (21.4% of total)ival-add: 10.0ms (11.3% of total)backward-pass: 6.0ms (6.8% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 88.0ms | 0.00014558313277817015 | 670255.8737723116 |
| 79.0ms | 141× | 1 | valid |
| 3.0ms | 19× | 0 | valid |
Compiled 452 to 340 computations (24.8% saved)
ival-add: 32.0ms (51.9% of total)ival-sqrt: 17.0ms (27.6% of total)ival-sub: 6.0ms (9.7% of total)backward-pass: 6.0ms (9.7% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 569.0ms | 670255.8737723116 | 14743260105.507322 |
| 561.0ms | 109× | 1 | valid |
| 3.0ms | 19× | 0 | valid |
Compiled 322 to 254 computations (21.1% saved)
ival-sub: 527.0ms (95.3% of total)ival-sqrt: 13.0ms (2.4% of total)ival-add: 8.0ms (1.4% of total)backward-pass: 5.0ms (0.9% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 670255.8737723116 | 14743260105.507322 |
| 46.0ms | 117× | 1 | valid |
| 2.0ms | 11× | 0 | valid |
Compiled 234 to 198 computations (15.4% saved)
ival-sqrt: 14.0ms (40.2% of total)ival-add: 8.0ms (23% of total)backward-pass: 7.0ms (20.1% of total)ival-sub: 6.0ms (17.2% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 2.7010255756977565e-84 | 1.3506740294083916e-81 |
| 43.0ms | 117× | 1 | valid |
| 6.0ms | 11× | 0 | valid |
Compiled 210 to 182 computations (13.3% saved)
ival-sqrt: 15.0ms (39.7% of total)ival-sub: 9.0ms (23.8% of total)ival-add: 8.0ms (21.1% of total)backward-pass: 5.0ms (13.2% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 2.8511881940585853e-49 | 4.459402359398451e-46 |
| 52.0ms | 116× | 1 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 210 to 182 computations (13.3% saved)
ival-sqrt: 26.0ms (58.2% of total)ival-add: 8.0ms (17.9% of total)ival-sub: 5.0ms (11.2% of total)backward-pass: 5.0ms (11.2% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 194× | +-commutative_binary64 |
| 70× | sub-neg_binary64 |
| 60× | *-commutative_binary64 |
| 24× | unsub-neg_binary64 |
| 24× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1445 |
| 1 | 358 | 1445 |
| 2 | 404 | 1445 |
| 3 | 436 | 1445 |
| 4 | 456 | 1445 |
| 5 | 462 | 1445 |
| 6 | 463 | 1445 |
| 1× | saturated |
| Inputs |
|---|
(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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 1125928054340295/562949953421312 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 1125928054340295/562949953421312 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))) |
(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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (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 9007109182748445/4503599627370496 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
(if (<=.f64 t #s(literal 315000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (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 5404319552844595/4503599627370496 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)))) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(if (<=.f64 y #s(literal 3172221350668787/38685626227668133590597632 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (if (<=.f64 y #s(literal 10499999999999999469513688294357426996361918951958871376973454931589081243493833964103622275936668108365330959116064878904552755389091279622111232 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) |
(if (<=.f64 z #s(literal 1/4 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (if (<=.f64 z #s(literal 5200000000000000179046449152 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t))) |
(if (<=.f64 z #s(literal 8358680908399641/576460752303423488 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 3170534137668829/144115188075855872 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 1116892707587883/18014398509481984 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 6124895493223875/72057594037927936 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 x #s(literal 520000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 460000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 320000000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 56000000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 7874102609218843/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 1908785286492599/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(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 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 1125928054340295/562949953421312 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1125928054340295/562949953421312 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 1125928054340295/562949953421312 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1125928054340295/562949953421312 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (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 9007109182748445/4503599627370496 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (sqrt.f64 x))))) t) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
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(if (<=.f64 z #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (if (<=.f64 z #s(literal 5200000000000000179046449152 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) (*.f64 t (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))) (sqrt.f64 x))))) t))) |
(if (<=.f64 z #s(literal 8358680908399641/576460752303423488 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 8358680908399641/576460752303423488 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 3170534137668829/144115188075855872 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 3170534137668829/144115188075855872 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 1116892707587883/18014398509481984 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 1116892707587883/18014398509481984 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 6124895493223875/72057594037927936 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 z #s(literal 6124895493223875/72057594037927936 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(if (<=.f64 x #s(literal 520000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 520000 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) |
(if (<=.f64 x #s(literal 460000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 460000 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 320000000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 320000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal 56000000 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 56000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal 7874102609218843/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 7874102609218843/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal 1908785286492599/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 1908785286492599/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) |
| 6344× | +-lowering-+.f64 |
| 6344× | +-lowering-+.f32 |
| 5940× | +-lowering-+.f64 |
| 5940× | +-lowering-+.f32 |
| 5764× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1058 | 11114 |
| 1 | 3690 | 10149 |
| 0 | 9201 | 10149 |
| 0 | 36 | 165 |
| 1 | 339 | 162 |
| 2 | 3840 | 162 |
| 0 | 8513 | 162 |
| 0 | 1004 | 11443 |
| 1 | 3575 | 10687 |
| 0 | 8254 | 10687 |
| 0 | 56 | 313 |
| 1 | 499 | 298 |
| 2 | 5517 | 298 |
| 0 | 8661 | 298 |
| 0 | 24 | 30 |
| 1 | 55 | 29 |
| 2 | 220 | 29 |
| 3 | 1630 | 29 |
| 4 | 5493 | 29 |
| 0 | 8399 | 29 |
| 0 | 1427 | 13746 |
| 1 | 5111 | 12965 |
| 2 | 7220 | 12920 |
| 0 | 8021 | 12920 |
| 0 | 651 | 6678 |
| 1 | 2175 | 5975 |
| 2 | 7417 | 5972 |
| 0 | 8013 | 5972 |
| 0 | 59 | 380 |
| 1 | 593 | 308 |
| 2 | 7491 | 308 |
| 0 | 8637 | 308 |
| 0 | 54 | 273 |
| 1 | 493 | 253 |
| 2 | 5471 | 253 |
| 0 | 8030 | 253 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 4931 to 2735 computations (44.5% saved)
Compiled 3998 to 950 computations (76.2% saved)
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