
Time bar (total: 26.9s)
| 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: 161.0ms (59.2% of total)ival-add: 64.0ms (23.5% of total)ival-sub: 45.0ms (16.6% of total)const: 1.0ms (0.4% of total)backward-pass: 0.0ms (0% of total)| 3.2s | 7583× | 1 | valid |
| 3.1s | 15770× | 0 | invalid |
| 138.0ms | 673× | 0 | valid |
ival-sqrt: 2.5s (50% of total)ival-add: 1.3s (26.4% of total)ival-sub: 865.0ms (17.1% of total)backward-pass: 285.0ms (5.6% of total)const: 40.0ms (0.8% 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 |
|---|---|---|---|---|---|
| 233 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 172 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 75 | 0 | - | 1 | (1.7348388244091026e-84 25.71224168761298 2.1562732356932073e+111 1.5182381303607872e+133) | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 11 | 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) |
| 341.0ms | 464× | 1 | valid |
| 10.0ms | 48× | 0 | valid |
Compiled 321 to 74 computations (76.9% saved)
ival-sqrt: 133.0ms (56.3% of total)backward-pass: 48.0ms (20.3% of total)ival-add: 35.0ms (14.8% of total)ival-sub: 19.0ms (8% of total)const: 1.0ms (0.4% of total)Compiled 35 to 24 computations (31.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.5% | (+.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)))))) |
| ▶ | 92.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 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 | 96.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 74.1% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 37.1% | (+.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 | 20.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 74.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 1.2s | 232× | 1 | valid |
| 15.0ms | 24× | 0 | valid |
Compiled 282 to 37 computations (86.9% saved)
backward-pass: 873.0ms (76.3% of total)ival-add: 210.0ms (18.3% of total)ival-sqrt: 46.0ms (4% of total)ival-sub: 15.0ms (1.3% of total)const: 1.0ms (0.1% 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)) |
| 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 | x | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | x | @ | inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | 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 | 3818 | 162 |
| 0 | 8336 | 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 (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #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)) (-.f64 (sqrt.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) |
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(-.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) (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 (+.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) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 (neg.f64 (-.f64 (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 (+.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) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
| 1× | egg-herbie |
| 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 | 7412 | 5972 |
| 0 | 8008 | 5972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(- (+ (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 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 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 t) (sqrt z))) |
(- (+ 1 (* 1/2 t)) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (+ (sqrt t) (sqrt z))) |
(* -1 (sqrt z)) |
(- (* 1/2 (sqrt (/ 1 t))) (sqrt z)) |
(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t)))) (sqrt z)) |
(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z)) |
(* -1 (sqrt z)) |
(- (* -1/2 (sqrt (/ 1 t))) (sqrt z)) |
(- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (sqrt 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)) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
(* -1 (sqrt z)) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(* z (- (* (/ 1 z) (sqrt (+ 1 t))) (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))) |
(* (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 (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 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 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 (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) 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)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.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) |
(- 1 (sqrt t)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (sqrt.f64 t))) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
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(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
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(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
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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)) |
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(- (+ 1 (* 1/2 z)) (sqrt z)) |
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(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
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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)) |
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(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
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(- (+ 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) |
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(/ (+ (* -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)) |
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(* -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)) |
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(- 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))) |
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(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (+ (sqrt t) (sqrt z))) |
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(* -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)) |
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(- (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t))))) (sqrt z)) |
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(* -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)) |
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(- (* -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)) |
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(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
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(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
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(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
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(- (sqrt (+ 1 t)) (+ (sqrt t) (sqrt z))) |
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(* -1 (sqrt z)) |
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(* (sqrt z) (pow (sqrt -1) 2)) |
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(- (sqrt (+ 1 t)) (sqrt t)) |
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(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.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))) |
(- (+ (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 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (*.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 #s(literal 1 binary64) (-.f64 (*.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 (*.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 32421 to 2478 computations (92.4% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 31 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 665 | 31 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| 33.6% | (-.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))) | |
| 42.8% | (-.f64 (+.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) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 40.6% | (+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (sqrt.f64 z) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 84.4% | (+.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)) (sqrt.f64 z)))) | |
| 11.8% | (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))))) | |
| 12.6% | (+.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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))) | |
| ▶ | 75.8% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 35.8% | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 92.1% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 92.2% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 92.1% | (+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #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))) | |
| 91.4% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 92.6% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 93.0% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 62.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 92.4% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 t) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))))) | |
| 83.7% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)) | |
| 84.3% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 35.7% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.2% | (+.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 67.4% | (+.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))) | |
| 30.0% | (+.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))) | |
| 68.4% | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.5% | (+.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))) | |
| ▶ | 48.0% | (+.f64 (+.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 (-.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))) |
| 45.9% | (+.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))) | |
| 25.5% | (+.f64 (+.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))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 49.1% | (+.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))) |
| 34.6% | (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (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 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 37.6% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y))))) | |
| 42.7% | (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
Compiled 2374 to 1588 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
| ✓ | cost-diff | 256 | (+.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)))) |
| ✓ | cost-diff | 256 | (+.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))) |
| ✓ | cost-diff | 256 | (+.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))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 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) z)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.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 (-.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 | 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 | 320 | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 320 | (+.f64 (+.f64 (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 320 | (+.f64 (+.f64 (+.f64 (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 4168× | +-lowering-+.f64 |
| 4168× | +-lowering-+.f32 |
| 2188× | --lowering--.f32 |
| 2188× | --lowering--.f64 |
| 2004× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 694 |
| 1 | 174 | 661 |
| 2 | 761 | 652 |
| 3 | 5774 | 652 |
| 4 | 7339 | 652 |
| 0 | 8116 | 652 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) |
(+ (- (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) (pow (+ 1 z) 1/2))) |
(- (+ 1 z) z) |
(+ 1 z) |
z |
(+ (sqrt z) (pow (+ 1 z) 1/2)) |
(sqrt z) |
(pow (+ 1 z) 1/2) |
1/2 |
(- (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) |
(+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) |
(sqrt (+ 1 y)) |
(+ 1 y) |
1 |
y |
(* 1/2 (sqrt (/ 1 z))) |
1/2 |
(sqrt (/ 1 z)) |
(/ 1 z) |
z |
(- (- (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 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
(+ 1 (* x 1/2)) |
1 |
(* x 1/2) |
x |
1/2 |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(sqrt y) |
(sqrt x) |
(- (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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y))) |
(- (+ 1 y) y) |
(+ 1 y) |
y |
(+ (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 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) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (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 x)) (sqrt.f64 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) t)) (sqrt.f64 t))))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (/.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 x)) (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) |
(/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))) |
(/.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) (pow (+ 1 z) 1/2)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt z) |
(sqrt.f64 z) |
(pow (+ 1 z) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
1/2 |
#s(literal 1/2 binary64) |
(- (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))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 y))) |
(+ (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 x)) (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 (+ 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) |
(+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (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) |
1 |
#s(literal 1 binary64) |
y |
(* 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 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 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (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 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z))) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y)))) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(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 (+ 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)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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) |
(/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 y) y) |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+ (sqrt (+ 1 y)) (sqrt y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt (+ 1 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 75.8% | (-.f64 (+.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 80.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| ✓ | accuracy | 78.3% | (+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| ✓ | accuracy | 78.3% | (+.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 | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 74.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 39.1% | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 494.0ms | 232× | 1 | valid |
| 15.0ms | 24× | 0 | valid |
Compiled 731 to 58 computations (92.1% saved)
ival-add: 71.0ms (31.4% of total)ival-sqrt: 43.0ms (19% of total)backward-pass: 40.0ms (17.7% of total)ival-sub: 26.0ms (11.5% of total)ival-pow: 26.0ms (11.5% of total)ival-div: 13.0ms (5.7% of total)ival-mult: 7.0ms (3.1% 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) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))))> |
#<alt (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))> |
#<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 (+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))> |
#<alt (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))> |
#<alt (+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))> |
#<alt (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))> |
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))> |
#<alt (- (sqrt (+ t 1)) (sqrt t))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (sqrt (/ 1 z))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))> |
#<alt (- (+ 1 y) y)> |
| 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)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (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))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))> |
#<alt (- (+ (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 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)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))> |
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#<alt (- (+ (sqrt (+ 1 x)) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (* 1/8 (sqrt (/ 1 (pow y 3))))))> |
#<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 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))) (sqrt x))> |
#<alt (/ 1 (+ 1 (sqrt y)))> |
#<alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (sqrt (/ 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 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 (+ 1 y)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (+ 2 (* 1/2 x))> |
#<alt (+ 2 (+ (* 1/2 x) (* 1/2 y)))> |
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))> |
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) |
| 2.0ms | y | @ | inf | (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) |
| 2.0ms | x | @ | -inf | (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) |
| 1.0ms | z | @ | 0 | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | y | @ | 0 | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 3014× | *-lowering-*.f32 |
| 3014× | *-lowering-*.f64 |
| 2590× | /-lowering-/.f32 |
| 2590× | /-lowering-/.f64 |
| 2448× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 420 |
| 1 | 587 | 356 |
| 0 | 8219 | 356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2)))) |
(/ (- (+ 1 z) z) (+ (sqrt z) (pow (+ 1 z) 1/2))) |
(- (+ 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) |
(+ (+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))) |
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (- (sqrt (+ z 1)) (sqrt z))) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y)))) |
(/ (- (+ 1 y) y) (+ (sqrt (+ 1 y)) (sqrt y))) |
(- (sqrt (+ t 1)) (sqrt t)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(- (sqrt (+ x 1)) (sqrt x)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(sqrt (/ 1 z)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
(- (+ 1 y) 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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(+.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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) t) #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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)))) |
(+.f64 (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 (-.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))) (sqrt.f64 t)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
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#s(literal 1 binary64) |
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
| 1× | egg-herbie |
| 7296× | +-lowering-+.f64 |
| 7296× | +-lowering-+.f32 |
| 3160× | *-lowering-*.f32 |
| 3160× | *-lowering-*.f64 |
| 2910× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1556 | 15757 |
| 1 | 5713 | 14969 |
| 0 | 8186 | 14969 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ 1 (+ 1 (sqrt z))) |
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(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
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(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6))))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))))) z)) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
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(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 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)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 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 (+.f64 (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 #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)))) (+ (* 1/16 (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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (+.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 #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 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (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 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (sqrt.f64 x) #s(literal 1/2 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 #s(literal 1 binary64) (-.f64 (+.f64 (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 #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 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))) (+.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.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 #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)))) (+ (* 1/16 (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 (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 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #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) y)))))) (+.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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.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 #s(literal -1/2 binary64) z) (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)))) |
(+.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 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64))))) (/.f64 #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 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64)))) (*.f64 z (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))))) (/.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)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (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)))) |
(-.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 #s(literal 1/2 binary64) (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)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (neg.f64 x)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 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))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (sqrt.f64 x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (neg.f64 x)) |
(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 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 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.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 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64))) (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(/.f64 (+.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 #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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.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)))))) (neg.f64 z)) |
(+ 1 (sqrt (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(+ 2 (* 1/2 x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (* 1/2 x) (* 1/2 y))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) |
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) |
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(+.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))) |
(*.f64 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) (*.f64 y (*.f64 y y)))) (/.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))) |
(+.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y)))) #s(literal 1 binary64))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) y)))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.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))) y)) (neg.f64 y)) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
Compiled 87166 to 5725 computations (93.4% saved)
37 alts after pruning (37 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1828 | 31 | 1859 |
| Fresh | 20 | 6 | 26 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1853 | 37 | 1890 |
| Status | Accuracy | Program |
|---|---|---|
| 48.0% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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))) | |
| ▶ | 13.7% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| 33.4% | (-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 66.7% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.8% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.9% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.6% | (+.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))) | |
| 48.9% | (+.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))) | |
| 84.4% | (+.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)) (sqrt.f64 z)))) | |
| 35.1% | (+.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))) | |
| 16.4% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 40.6% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 76.1% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) | |
| 67.5% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)) | |
| 11.8% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t)))) | |
| 9.4% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) | |
| 32.4% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 48.1% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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))) | |
| 92.1% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 92.2% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 92.1% | (+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #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))) | |
| 91.4% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 9.9% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 9.5% | (+.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))) | |
| 5.0% | (+.f64 (+.f64 (+.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 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.1% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 41.9% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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))) | |
| 43.5% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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))) | |
| 48.6% | (+.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 3.8% | (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 85.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 63.2% | (+.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)))) | |
| 64.2% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 57.4% | (+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) | |
| ▶ | 34.3% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
| 2.3% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
Compiled 2438 to 1658 computations (32% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 5246× | +-lowering-+.f64 |
| 5246× | +-lowering-+.f32 |
| 2774× | --lowering--.f32 |
| 2774× | --lowering--.f64 |
| 1522× | distribute-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 552 |
| 1 | 158 | 542 |
| 2 | 594 | 497 |
| 3 | 3512 | 493 |
| 4 | 5737 | 493 |
| 0 | 8123 | 493 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) |
(- (+ x 1) x) |
(+ x 1) |
x |
1 |
(+ (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ 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) |
(* 1/2 (sqrt (/ 1 z))) |
1/2 |
(sqrt (/ 1 z)) |
(/ 1 z) |
1 |
z |
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))) |
1 |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))) |
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(sqrt (+ 1 t)) |
(+ 1 t) |
t |
(+ (sqrt (+ 1 z)) (* x 1/2)) |
(sqrt (+ 1 z)) |
(+ 1 z) |
z |
(* x 1/2) |
x |
1/2 |
(+ (sqrt t) (+ (sqrt z) (sqrt x))) |
(sqrt t) |
(+ (sqrt z) (sqrt x)) |
(sqrt z) |
(sqrt x) |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+ 2 (sqrt (+ 1 t))) |
2 |
(sqrt (+ 1 t)) |
(+ 1 t) |
1 |
t |
(+ (sqrt (+ 1 z)) (* x 1/2)) |
(sqrt (+ 1 z)) |
(+ 1 z) |
z |
(* x 1/2) |
x |
1/2 |
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))) |
(sqrt t) |
(+ (+ (sqrt x) (sqrt y)) (sqrt z)) |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(sqrt y) |
y |
(sqrt z) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) |
(* 1/2 (sqrt (/ 1 x))) |
1/2 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) |
(+ (sqrt (+ 1 y)) (sqrt y)) |
(sqrt (+ 1 y)) |
(+ 1 y) |
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) |
| Outputs |
|---|
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 z) (sqrt.f64 t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.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)))) |
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(- (+ x 1) x) |
#s(literal 1 binary64) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 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))) |
(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) |
(* 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) |
1 |
#s(literal 1 binary64) |
z |
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) |
1 |
#s(literal 1 binary64) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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 (+ 1 z)) (* x 1/2)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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 |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (sqrt t) (+ (sqrt z) (sqrt x))) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(sqrt t) |
(sqrt.f64 t) |
(+ (sqrt z) (sqrt x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 z)) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt x) |
(sqrt.f64 x) |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(+ 2 (sqrt (+ 1 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
1 |
#s(literal 1 binary64) |
t |
(+ (sqrt (+ 1 z)) (* x 1/2)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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 |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt t) |
(sqrt.f64 t) |
(+ (+ (sqrt x) (sqrt y)) (sqrt z)) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt y) |
(sqrt.f64 y) |
y |
(sqrt z) |
(sqrt.f64 z) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.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) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(* 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 |
(/ 1 (+ (sqrt (+ 1 y)) (sqrt y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+ 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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
| ✓ | accuracy | 99.9% | (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| ✓ | accuracy | 13.6% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
| ✓ | accuracy | 13.9% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 96.6% | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | accuracy | 74.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 372.0ms | 232× | 1 | valid |
| 13.0ms | 24× | 0 | valid |
Compiled 563 to 59 computations (89.5% saved)
ival-add: 73.0ms (35.7% of total)ival-sqrt: 52.0ms (25.4% of total)backward-pass: 34.0ms (16.6% of total)ival-sub: 17.0ms (8.3% of total)ival-div: 16.0ms (7.8% of total)ival-mult: 12.0ms (5.9% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y)))> |
#<alt (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x)))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (sqrt (/ 1 z))> |
#<alt (/ 1 z)> |
#<alt (+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))> |
#<alt (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2)))> |
#<alt (sqrt (+ 1 t))> |
#<alt (- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))))> |
#<alt (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))> |
#<alt (+ 2 (sqrt (+ 1 t)))> |
#<alt (+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (- (sqrt (+ t 1)) (sqrt t))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (- (sqrt (+ y 1)) (sqrt y))> |
#<alt (- (+ x 1) x)> |
#<alt (+ (sqrt t) (+ (sqrt z) (sqrt x)))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (+ (sqrt x) (sqrt y)) (sqrt z))> |
#<alt (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))> |
| Outputs |
|---|
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt 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)) (+ (* -1/8 (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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))))> |
#<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 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (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))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (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)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (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)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (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))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (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 (+ (sqrt x) (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 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
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#<alt (* -1 (* x (- (* -1 (/ (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x))))> |
#<alt (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t))))))> |
#<alt (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (/ x t)) (* (/ 1 t) (sqrt (+ 1 z))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (* (/ 1 t) (sqrt (+ 1 z)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (* (/ 1 t) (sqrt (+ 1 z))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 z)) (* 1/2 x)) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (+ 1 (+ (sqrt (+ 1 t)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z))))> |
#<alt (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z))))))> |
#<alt (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (/ x z)) (* (/ 1 z) (sqrt (+ 1 t))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (* (/ 1 z) (sqrt (+ 1 t)))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (* (/ 1 z) (sqrt (+ 1 t))))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt (+ 1 t)) (* 1/2 x)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))> |
#<alt (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (* (/ 1 x) (sqrt (+ 1 z))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (* (/ 1 x) (sqrt (+ 1 z))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (* (/ 1 x) (sqrt (+ 1 z))))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) x)) 1/2)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 t))> |
#<alt (+ 1 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (* -1 (sqrt y))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* (sqrt y) (pow (sqrt -1) 2))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x))))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
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#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z)))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z))))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt 3> |
#<alt (+ 3 (* 1/2 t))> |
#<alt (+ 3 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1/2 (sqrt (/ 1 t)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) (+ (sqrt t) (sqrt z))))) x)> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ 1 (sqrt y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt z)))> |
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#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (+ (sqrt x) (+ (sqrt y) (sqrt z)))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 (+ 1 (sqrt y)))> |
#<alt (+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 4.0ms | z | @ | 0 | (+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))) |
| 1.0ms | x | @ | -inf | (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
| 1.0ms | x | @ | 0 | (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | x | @ | inf | (+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 3140× | *-lowering-*.f32 |
| 3140× | *-lowering-*.f64 |
| 2852× | +-lowering-+.f64 |
| 2852× | +-lowering-+.f32 |
| 2652× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 348 |
| 1 | 544 | 309 |
| 2 | 6690 | 309 |
| 0 | 8681 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) |
(/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) |
(* 1/2 (sqrt (/ 1 z))) |
(sqrt (/ 1 z)) |
(/ 1 z) |
(+ 1 (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (sqrt z) (sqrt x)))) |
(+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(sqrt (+ 1 t)) |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z)))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+ 2 (sqrt (+ 1 t))) |
(+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt (+ 1 y)) (sqrt y)))) |
(* 1/2 (sqrt (/ 1 x))) |
(- (sqrt (+ t 1)) (sqrt t)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(- (sqrt (+ y 1)) (sqrt y)) |
(- (+ x 1) x) |
(+ (sqrt t) (+ (sqrt z) (sqrt x))) |
(+ (sqrt x) (sqrt y)) |
(+ (+ (sqrt x) (sqrt y)) (sqrt z)) |
(+ (sqrt t) (+ (+ (sqrt x) (sqrt y)) (sqrt z))) |
(sqrt (/ 1 x)) |
(/ 1 (+ (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) |
(+.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) y)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
(+.f64 (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (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)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))))) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (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)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))) (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (-.f64 (+.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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (-.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 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)) (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (-.f64 (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)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))) |
(-.f64 (-.f64 (+.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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.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)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
(-.f64 (+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 y) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t))))) |
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(/.f64 (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 t (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 t))))) |
(/.f64 (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)) (-.f64 t (*.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(/.f64 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 3 binary64)))) (neg.f64 (+.f64 t (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (*.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 z (*.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)) t) (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 t))) |
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) z) (-.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 z))) |
(*.f64 (+.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 t)))))) |
(*.f64 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 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) (neg.f64 (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))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (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 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
| 1× | egg-herbie |
| 6826× | +-lowering-+.f64 |
| 6826× | +-lowering-+.f32 |
| 3020× | *-lowering-*.f32 |
| 3020× | *-lowering-*.f64 |
| 2050× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1309 | 14475 |
| 1 | 4821 | 13328 |
| 0 | 8666 | 13328 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt 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)) (+ (* -1/8 (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)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3)))))))) |
(- (+ (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)))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (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))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt x) (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 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (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))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt y))) |
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(+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* -1/2 (sqrt (/ 1 z))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y)))))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* 1/2 (sqrt x)) (/ x (+ (sqrt y) (sqrt (+ 1 y))))) x) |
(/ (+ (* 1/2 (sqrt x)) (/ x (+ (sqrt y) (sqrt (+ 1 y))))) x) |
(/ (+ (* 1/2 (sqrt x)) (/ x (+ (sqrt y) (sqrt (+ 1 y))))) x) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 (+ (sqrt y) (sqrt (+ 1 y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ 1 (sqrt y)))) |
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ 1 (sqrt y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))) |
(+ (* 1/2 (sqrt (/ 1 x))) (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y))))) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y)))) |
(+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) |
(- (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 y))))) (* 1/8 (sqrt (/ 1 (pow y 3))))) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y)) (* 1/2 (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)) (pow (sqrt -1) 2))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 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 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)) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (* (/ 1 t) (sqrt z))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (* (/ 1 t) (sqrt z))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (* (/ 1 t) (sqrt z))))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (sqrt z)) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (sqrt z)) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (sqrt z)) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (* (sqrt x) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (* (sqrt x) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (* (sqrt x) (/ 1 z))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (sqrt x)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (sqrt x)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (sqrt x)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(+ (sqrt t) (+ (sqrt x) (sqrt z))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (sqrt z)) x)) (* (sqrt (/ 1 x)) (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 x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt y) (sqrt z)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt x) (sqrt z)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(+ (sqrt x) (+ (sqrt y) (sqrt z))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt x) (sqrt y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* (/ 1 t) (sqrt x)) (+ (* (/ 1 t) (sqrt y)) (* (/ 1 t) (sqrt z)))))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (/ (+ (sqrt x) (+ (sqrt y) (sqrt z))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(sqrt (/ 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 (+ 1 (sqrt y))) |
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y)))) |
(+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 y)))) y) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y)) |
| Outputs |
|---|
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.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) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
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(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (sqrt t) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) x)) (neg.f64 x)) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 t) y)) (+.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 z) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 t) y)) (+.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 z) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))) |
(*.f64 y (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 t) y)) (+.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 z) y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)) y)) (neg.f64 y)) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* (sqrt t) (/ 1 z)) (+ (* (sqrt x) (/ 1 z)) (* (sqrt y) (/ 1 z)))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ (sqrt t) (+ (sqrt x) (sqrt y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) z)) (neg.f64 z)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ 1 (sqrt y))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(+ (* -1/2 (/ y (pow (+ 1 (sqrt y)) 2))) (/ 1 (+ 1 (sqrt y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)))) |
(+ (* y (- (* y (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)))))) |
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ 1 (sqrt y)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt y)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt y)) 2))))) (/ 1 (+ 1 (sqrt y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)))) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)))))) |
(* 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) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))) (* 1/8 (sqrt (/ 1 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 (/ (+ (* 1/128 (sqrt (pow y 7))) (* 1/32 (sqrt (pow y 7)))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 y))))) y) |
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) #s(literal 5/128 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1/16 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 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2))))) y)) |
(/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow y 7)) (/ 1 (pow (sqrt -1) 6))))) (pow y 6))) (* 1/2 (sqrt y))) (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))))) y)) |
(/.f64 (+.f64 (+.f64 (-.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 5/128 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 y)) |
Compiled 59133 to 4421 computations (92.5% saved)
38 alts after pruning (37 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1379 | 16 | 1395 |
| Fresh | 11 | 21 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1394 | 38 | 1432 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
| 48.0% | (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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))) | |
| 31.5% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) | |
| 32.0% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (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)))) | |
| ▶ | 13.7% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
| 14.0% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) | |
| 32.2% | (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 66.7% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.8% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.9% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.6% | (+.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))) | |
| 48.9% | (+.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))) | |
| 84.4% | (+.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)) (sqrt.f64 z)))) | |
| 35.1% | (+.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))) | |
| 90.4% | (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 39.2% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 40.6% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 76.1% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) | |
| 9.4% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) | |
| 32.4% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 48.1% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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))) |
| 33.5% | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 91.4% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.1% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 41.9% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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))) |
| 43.5% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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))) | |
| 9.9% | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 85.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 63.2% | (+.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)))) | |
| 64.2% | (+.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)))) | |
| 11.8% | (+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) | |
| 60.4% | (+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 34.7% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) | |
| 57.4% | (+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) | |
| 34.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 7.8% | (*.f64 (pow.f64 z #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))) |
| 9.5% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 2230 to 1543 computations (30.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
| ✓ | 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 (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))))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 5150× | +-lowering-+.f64 |
| 5150× | +-lowering-+.f32 |
| 2474× | --lowering--.f32 |
| 2474× | --lowering--.f64 |
| 2086× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 572 |
| 1 | 181 | 556 |
| 2 | 728 | 547 |
| 3 | 4654 | 547 |
| 4 | 7914 | 547 |
| 0 | 8279 | 547 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
(/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))) |
(- (pow (+ 1 y) 3/2) (pow y 3/2)) |
(pow (+ 1 y) 3/2) |
(+ 1 y) |
y |
3/2 |
(pow y 3/2) |
(+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))) |
(+ (+ 1 y) y) |
(sqrt (* (+ 1 y) y)) |
(* (+ 1 y) 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) |
(/ 1/2 (sqrt z)) |
1/2 |
(sqrt z) |
z |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+ 2 (sqrt (+ 1 t))) |
2 |
(sqrt (+ 1 t)) |
(+ 1 t) |
1 |
t |
(+ (sqrt (+ 1 z)) (* x 1/2)) |
(sqrt (+ 1 z)) |
(+ 1 z) |
z |
(* x 1/2) |
x |
1/2 |
(+ (sqrt t) (sqrt z)) |
(sqrt t) |
(sqrt z) |
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+ 1 (* y (+ 1/2 (* y -1/8)))) |
1 |
(* y (+ 1/2 (* y -1/8))) |
y |
(+ 1/2 (* y -1/8)) |
1/2 |
(* y -1/8) |
-1/8 |
(- (- (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 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
(+ 1 (* x 1/2)) |
1 |
(* x 1/2) |
x |
1/2 |
(sqrt (+ 1 y)) |
(+ 1 y) |
y |
(sqrt y) |
(sqrt x) |
(* 1/2 (sqrt (/ 1 z))) |
(sqrt (/ 1 z)) |
(/ 1 z) |
z |
(- (sqrt (+ t 1)) (sqrt t)) |
(sqrt (+ t 1)) |
(+ t 1) |
t |
(sqrt t) |
| Outputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) 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) |
(/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 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 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(- (pow (+ 1 y) 3/2) (pow y 3/2)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(pow (+ 1 y) 3/2) |
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
3/2 |
#s(literal 3/2 binary64) |
(pow y 3/2) |
(pow.f64 y #s(literal 3/2 binary64)) |
(+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+ (+ 1 y) y) |
(+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) |
(sqrt (* (+ 1 y) y)) |
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y))) |
(* (+ 1 y) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) 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) |
(/ 1/2 (sqrt z)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt z) |
(sqrt.f64 z) |
z |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(+ 2 (sqrt (+ 1 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 t)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
1 |
#s(literal 1 binary64) |
t |
(+ (sqrt (+ 1 z)) (* x 1/2)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #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 |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (sqrt t) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 t)) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt z) |
(sqrt.f64 z) |
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(+ 1 (* y (+ 1/2 (* y -1/8)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) |
1 |
#s(literal 1 binary64) |
(* y (+ 1/2 (* y -1/8))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) |
y |
(+ 1/2 (* y -1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* y -1/8) |
(*.f64 y #s(literal -1/8 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (- (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 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t))) |
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) |
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(+ 1 (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(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) |
(* 1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 80.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 y))) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 99.9% | (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 t) (sqrt.f64 z)) |
| ✓ | accuracy | 13.7% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 z) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
| ✓ | accuracy | 96.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 74.1% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
| ✓ | accuracy | 37.1% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 13.5% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 462.0ms | 232× | 1 | valid |
| 47.0ms | 24× | 0 | valid |
Compiled 602 to 66 computations (89% saved)
ival-add: 90.0ms (28% of total)ival-pow: 89.0ms (27.7% of total)ival-sqrt: 47.0ms (14.6% of total)backward-pass: 39.0ms (12.1% of total)ival-sub: 22.0ms (6.9% of total)ival-mult: 21.0ms (6.5% of total)ival-div: 10.0ms (3.1% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z)))> |
#<alt (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y)))))> |
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (/ 1/2 (sqrt z))> |
#<alt (sqrt z)> |
#<alt (- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z)))> |
#<alt (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2)))> |
#<alt (+ 2 (sqrt (+ 1 t)))> |
#<alt (sqrt (+ 1 t))> |
#<alt (+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y)))> |
#<alt (+ 1 (* y (+ 1/2 (* y -1/8))))> |
#<alt (* y (+ 1/2 (* y -1/8)))> |
#<alt (+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t)))> |
#<alt (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z))))> |
#<alt (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x))> |
#<alt (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y))> |
#<alt (- (sqrt (+ t 1)) (sqrt t))> |
#<alt (- (sqrt (+ z 1)) (sqrt z))> |
#<alt (- (pow (+ 1 y) 3/2) (pow y 3/2))> |
#<alt (+ (sqrt t) (sqrt z))> |
#<alt (sqrt (+ 1 z))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (sqrt (/ 1 z))> |
#<alt (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y)))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (* 3/2 (/ 1 (+ 1 (sqrt y)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (+ (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* y (- (+ (* -1 (+ (* -1 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 3)))) (* 2 (/ (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))) (+ 1 (sqrt y)))))) (* 3/2 (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2))))))) (+ (* 1/16 (/ 1 (+ 1 (sqrt y)))) (+ (* 3/4 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (- (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))))))))))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt 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)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* -1/4 (sqrt (/ 1 (pow y 5)))) (+ (* 7/48 (sqrt (/ 1 (pow y 5)))) (+ (* 1/6 (* (sqrt (/ 1 (pow y 5))) (- 1 (* 9/4 y)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
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#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) (sqrt z))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 x)))) (sqrt z))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 x)))) (sqrt t))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (* 1/2 x)> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt z)))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (sqrt z))) x)) 1/2)))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x))))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 x)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (* 1/2 x)))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* 1/2 z))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z))))))> |
#<alt (+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z)))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z))))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (* 1/2 x))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x))))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2)))> |
#<alt 3> |
#<alt (+ 3 (* 1/2 t))> |
#<alt (+ 3 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1/2 (sqrt (/ 1 t)))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 t))> |
#<alt (+ 1 (* t (+ 1/2 (* -1/8 t))))> |
#<alt (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))> |
#<alt (sqrt t)> |
#<alt (* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))> |
#<alt (* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/8 (sqrt (/ 1 (pow y 3))))))> |
#<alt (* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 t))) (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (+ (* (sqrt t) (/ 1 (pow y 2))) (* (sqrt x) (/ 1 (pow y 2))))))))> |
#<alt (* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 t))) (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (+ (* (sqrt t) (/ 1 (pow y 2))) (* (sqrt x) (/ 1 (pow y 2))))))))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (+ (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 y))) 1/8))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (sqrt x))) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (sqrt x))) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* -1/8 x))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y)))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -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)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (+ (* 1/2 t) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (+ (* t (+ 1/2 (* -1/8 t))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 x)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* -1/8 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)) (+ (* -1/2 (sqrt (/ 1 t))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (* -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)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt 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 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/8 (sqrt (/ 1 (pow y 3))))))> |
#<alt (* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (* (sqrt x) (/ 1 (pow y 2)))))))> |
#<alt (* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (* (sqrt x) (/ 1 (pow y 2)))))))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (+ (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 y))) 1/8))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (sqrt (+ 1 x))) (sqrt x)) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (sqrt (+ 1 x))) (sqrt x)) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8))> |
#<alt (- (+ 2 (* y (+ 1/2 (* -1/8 y)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* x (+ 1/2 (* -1/8 x))) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y)))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y))))))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* y (+ 1/2 (* -1/8 y))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* -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)) (* y (+ 1/2 (* -1/8 y))))) (sqrt y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 y))> |
#<alt (+ 1 (* y (+ 1/2 (* -1/8 y))))> |
#<alt (+ 1 (* y (+ 1/2 (* -1/8 y))))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8))> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* -1/8 y)))> |
#<alt (* y (+ 1/2 (* -1/8 y)))> |
#<alt (* y (+ 1/2 (* -1/8 y)))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* -1/8 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))> |
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#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 z))> |
#<alt (+ 1 (* z (+ 1/2 (* -1/8 z))))> |
#<alt (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (* 1/2 (sqrt (/ 1 (pow z 3))))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (sqrt (/ 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 (+ 1 y)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2)))> |
#<alt (+ 2 (* 1/2 x))> |
#<alt (+ 2 (+ (* 1/2 x) (* 1/2 y)))> |
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))> |
#<alt (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 5.0ms | y | @ | 0 | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | z | @ | -inf | (- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z))) |
| 2.0ms | y | @ | -inf | (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | y | @ | inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 3504× | *-lowering-*.f32 |
| 3504× | *-lowering-*.f64 |
| 2830× | /-lowering-/.f32 |
| 2830× | /-lowering-/.f64 |
| 2808× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 351 |
| 1 | 607 | 300 |
| 2 | 7306 | 299 |
| 0 | 8192 | 299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) (- (sqrt (+ z 1)) (sqrt z))) |
(+ (- (sqrt (+ x 1)) (sqrt x)) (/ (- (pow (+ 1 y) 3/2) (pow y 3/2)) (+ (+ (+ 1 y) y) (sqrt (* (+ 1 y) y))))) |
(- (sqrt (+ x 1)) (sqrt x)) |
(/ 1/2 (sqrt z)) |
(sqrt z) |
(- (+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) (+ (sqrt t) (sqrt z))) |
(+ (+ 2 (sqrt (+ 1 t))) (+ (sqrt (+ 1 z)) (* x 1/2))) |
(+ 2 (sqrt (+ 1 t))) |
(sqrt (+ 1 t)) |
(+ (+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (+ 1 (* y (+ 1/2 (* y -1/8)))) (- (- (sqrt (+ 1 x)) (sqrt x)) (sqrt y))) |
(+ 1 (* y (+ 1/2 (* y -1/8)))) |
(* y (+ 1/2 (* y -1/8))) |
(+ (+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) (- (sqrt (+ t 1)) (sqrt t))) |
(+ (- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) (* 1/2 (sqrt (/ 1 z)))) |
(- (- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) (sqrt x)) |
(- (+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) (sqrt y)) |
(- (sqrt (+ t 1)) (sqrt t)) |
(- (sqrt (+ z 1)) (sqrt z)) |
(- (pow (+ 1 y) 3/2) (pow y 3/2)) |
(+ (sqrt t) (sqrt z)) |
(sqrt (+ 1 z)) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(sqrt (/ 1 z)) |
(+ (+ 1 (* x 1/2)) (sqrt (+ 1 y))) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))))) |
(+.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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (-.f64 (sqrt.f64 x) (-.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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.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) z) #s(literal 1/2 binary64)) (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 (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 2 binary64)) (*.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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z)))))) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 (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) z) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) (-.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(literal 2 binary64)) (*.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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))))))) |
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(*.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))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))))) |
| 1× | egg-herbie |
| 6288× | +-lowering-+.f64 |
| 6288× | +-lowering-+.f32 |
| 2138× | *-lowering-*.f32 |
| 2138× | *-lowering-*.f64 |
| 1814× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1516 | 17507 |
| 1 | 5555 | 14971 |
| 0 | 8408 | 14971 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* -1/8 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 x))) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (* 3/2 (/ 1 (+ 1 (sqrt y)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* y (- (+ (* 3/2 (/ 1 (+ 1 (sqrt y)))) (* y (- (+ (* 3/8 (/ 1 (+ 1 (sqrt y)))) (* 4 (/ 1 (pow (+ 1 (sqrt y)) 3)))) (+ (* -2 (* (sqrt y) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (pow (+ 1 (sqrt y)) 2)))) (* 3 (/ 1 (pow (+ 1 (sqrt y)) 2)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt y)) 2))) (* (sqrt y) (/ 1 (+ 1 (sqrt y))))))) (/ 1 (+ 1 (sqrt y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(- (+ (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)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* -1/4 (sqrt (/ 1 (pow y 5)))) (+ (* 7/48 (sqrt (/ 1 (pow y 5)))) (+ (* 1/6 (* (sqrt (/ 1 (pow y 5))) (- 1 (* 9/4 y)))) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))))))) (+ (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 (/ (- (+ (* 3/2 (* (sqrt y) (/ 1 (- (pow (sqrt -1) 2) 2)))) (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* 9/4 (/ 1 (pow (- (pow (sqrt -1) 2) 2) 3))))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (- (* 1/8 (/ 1 (* (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* -9/4 (/ (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 3))))))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/4 (* (sqrt y) (/ 1 (pow (- (pow (sqrt -1) 2) 2) 2)))) (+ (* -3/2 (* (sqrt y) (/ 1 (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 2) 2)))) (+ (* 3/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* 9/4 (/ 1 (pow (- (pow (sqrt -1) 2) 2) 3)))) (- (pow (sqrt -1) 2) 2))) (* 3/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 3))))))))))) (* -1 (* (sqrt (/ 1 y)) (* (sqrt -1) (+ (* 3/16 (/ 1 (* (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 3)))) (+ (* 3/2 (/ (- (* 1/8 (/ 1 (* (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* -9/4 (/ (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 3)))) (- (pow (sqrt -1) 2) 2))) (* 1/16 (/ 1 (* (pow (sqrt -1) 3) (pow (- (pow (sqrt -1) 2) 2) 2)))))))))) y)) (+ (* 3/2 (* (sqrt y) (/ 1 (- (pow (sqrt -1) 2) 2)))) (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* 9/4 (/ 1 (pow (- (pow (sqrt -1) 2) 2) 3)))))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (- (* 1/8 (/ 1 (* (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 2)))) (* -9/4 (/ (sqrt -1) (pow (- (pow (sqrt -1) 2) 2) 3))))))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(+ 3 (+ (sqrt (+ 1 t)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) |
(sqrt z) |
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3 |
(+ 3 (* 1/2 t)) |
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(+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t)))) |
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1 |
(+ 1 (* 1/2 t)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(sqrt t) |
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(* -1/8 (pow y 2)) |
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(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
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(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/8 (sqrt (/ 1 (pow y 3)))))) |
(* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (* (sqrt x) (/ 1 (pow y 2))))))) |
(* (pow y 2) (- (+ (* (/ 1 (pow y 2)) (sqrt (+ 1 x))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))) (+ 1/8 (+ (sqrt (/ 1 (pow y 3))) (* (sqrt x) (/ 1 (pow y 2))))))) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (+ (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 y))) 1/8)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (sqrt (+ 1 x))) (sqrt x)) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (sqrt (+ 1 x))) (sqrt x)) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) y)) 1/8)) |
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(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y))))) (sqrt y)) |
(- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ 1/2 (* -1/8 y)))))) (sqrt y)) |
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1 |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8)) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))) 1/8)) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/8 y))) |
(* y (+ 1/2 (* -1/8 y))) |
(* y (+ 1/2 (* -1/8 y))) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* -1/8 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/8)) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(* x (- 1/2 (sqrt (/ 1 x)))) |
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(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (sqrt y))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
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(* 1/2 (sqrt (/ 1 z))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 z))) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 z))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (sqrt (/ 1 z))))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (- (+ 1/2 (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (+ 2 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (+ (* 1/2 y) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))) (sqrt x)) |
(- (+ 1 (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x)) |
(- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z))))))) (sqrt x)) |
(- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (+ (* 1/2 (sqrt (/ 1 y))) (* 1/2 (sqrt (/ 1 z)))))))) (sqrt x)) |
(- (+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))) (sqrt x)) |
(- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x)) |
(- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x)) |
(- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* 1/2 (sqrt z)) (* z (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))))) z) |
(/ (+ (* 1/2 (sqrt z)) (* z (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))))) z) |
(/ (+ (* 1/2 (sqrt z)) (* z (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))))) z) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (+ 2 (* 1/2 x)) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) (sqrt x)) |
(- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) (sqrt x)) |
(- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 x))) (sqrt x)) |
(- (+ 1 (sqrt (+ 1 y))) (sqrt y)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (sqrt y)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (sqrt y)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (sqrt y)) |
(* 1/2 x) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (* (/ 1 x) (sqrt y)))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (* (/ 1 x) (sqrt y)))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (* (/ 1 x) (sqrt y)))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) 1/2))) |
(- (+ 2 (* 1/2 x)) (sqrt y)) |
(- (+ 2 (+ (* 1/2 x) (* 1/2 y))) (sqrt y)) |
(- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) (sqrt y)) |
(- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (sqrt y)) |
(+ 1 (* 1/2 x)) |
(+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))) |
(+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))) |
(+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) |
(+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) |
(+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 x))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
1 |
(+ 1 (* y (- 3/2 (sqrt y)))) |
(+ 1 (* y (- (+ 3/2 (* 3/8 y)) (sqrt y)))) |
(+ 1 (* y (- (+ 3/2 (* y (+ 3/8 (* -1/16 y)))) (sqrt y)))) |
(* 3/2 (sqrt y)) |
(+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y)))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- 1 (* 9/4 y)))) (+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y))))) |
(+ (* -9/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- 1 (* 9/4 y)))) (+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y)))))) |
(* 3/2 (sqrt y)) |
(+ (* 3/2 (sqrt y)) (* 3/2 (sqrt (/ 1 y)))) |
(+ (* -1 (/ (+ (* -3/2 (sqrt y)) (* -1/2 (* (sqrt (/ 1 y)) (- 1 (* -9/4 (/ y (pow (sqrt -1) 2))))))) y)) (* 3/2 (sqrt y))) |
(+ (* -1 (/ (+ (* -3/2 (sqrt y)) (* -1 (/ (+ (* -9/4 (* (sqrt y) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt y) (- 1 (* -9/4 (/ y (pow (sqrt -1) 2))))))) y))) y)) (* 3/2 (sqrt y))) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z)))) |
(* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z)))) |
(* t (+ (sqrt (/ 1 t)) (* (/ 1 t) (sqrt z)))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1 (* (/ 1 t) (sqrt z))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(+ (sqrt t) (sqrt z)) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt t) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 z)) |
(+ 1 (* z (+ 1/2 (* -1/8 z)))) |
(+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3)))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3))))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(sqrt (/ 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 (+ 1 y))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(* 1/2 x) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(+ 2 (* 1/2 x)) |
(+ 2 (+ (* 1/2 x) (* 1/2 y))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* (sqrt (pow (+ 1 y) 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt z) (* (sqrt (pow y 3)) (/ 1 (+ 1 (+ (sqrt (* y (+ 1 y))) (* 2 y))))))))) |
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(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (/ x t)) (+ (* (/ 1 t) (sqrt (+ 1 z))) (* 2 (/ 1 t)))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64))) |
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(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (/ x z)) (+ (* (/ 1 z) (sqrt (+ 1 t))) (* 2 (/ 1 z)))))) |
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(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
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(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x)))))) |
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(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (* 2 (/ 1 x)))))) |
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(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2))) |
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(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) #s(literal -1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) x)) 1/2))) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x)) #s(literal -1/2 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 1/2 t)) |
(+.f64 #s(literal 3 binary64) (*.f64 t #s(literal 1/2 binary64))) |
(+ 3 (* t (+ 1/2 (* -1/8 t)))) |
(+.f64 #s(literal 3 binary64) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64))))) |
(+ 3 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(+.f64 #s(literal 3 binary64) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) |
(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (* 2 (/ 1 t)))) |
(*.f64 t (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))) |
(* t (+ (sqrt (/ 1 t)) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t))))) |
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(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* 2 (/ 1 t)))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64))) |
(* -1 (* t (- (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)) (* 2 (/ 1 t))))) |
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(* -1 (* t (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))) t)) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 t)) |
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/2 binary64))) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64))))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) |
(sqrt t) |
(sqrt.f64 t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
(*.f64 t (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))))) |
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(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64))) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(* -1 (* z (+ (* -1 (* (sqrt t) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 z)) |
(+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(+ 1 (* z (+ 1/2 (* -1/8 z)))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64))))) |
(+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (* 1/2 (sqrt (/ 1 (pow z 3)))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 (pow z 3))))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))) |
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (* 1/2 (sqrt (/ 1 (pow z 3)))))))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 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))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x) |
(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 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ 1 (sqrt (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) |
(* x (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (sqrt (+ 1 y))) x)) 1/2))) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) x)) #s(literal -1/2 binary64))) |
(+ 2 (* 1/2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 2 (+ (* 1/2 x) (* 1/2 y))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))) |
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) |
(+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) |
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (/ x y)) (/ 1 y)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) y))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) y))) y)))) |
Compiled 60621 to 4606 computations (92.4% saved)
40 alts after pruning (38 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1230 | 17 | 1247 |
| Fresh | 11 | 21 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1245 | 40 | 1285 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.8% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
| 31.4% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) | |
| 32.0% | (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) | |
| 48.0% | (-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 41.7% | (-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 13.5% | (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) | |
| 32.2% | (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) | |
| 29.1% | (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 66.7% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.9% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.6% | (+.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))) | |
| 84.4% | (+.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)) (sqrt.f64 z)))) | |
| 35.1% | (+.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))) | |
| 90.4% | (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 39.2% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 40.6% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 32.4% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 48.1% | (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) | |
| 47.1% | (+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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))) | |
| 25.1% | (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.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))) | |
| 33.5% | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.3% | (+.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.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 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.1% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.9% | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 41.9% | (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 85.4% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 63.2% | (+.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)))) | |
| 64.2% | (+.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)))) | |
| 11.8% | (+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) | |
| 62.3% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))) | |
| 62.7% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) | |
| 44.5% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) | |
| 34.7% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) | |
| 57.4% | (+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) | |
| 34.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 7.8% | (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| 11.9% | (*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)))) | |
| 4.5% | (*.f64 x #s(literal 1/2 binary64)) | |
| ✓ | 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
| 9.5% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 3895 to 1244 computations (68.1% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
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(+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (sqrt.f64 z) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #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 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
11 calls:
| 27.0ms | x |
| 27.0ms | t |
| 27.0ms | z |
| 26.0ms | y |
| 25.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
| 98.1% | 2 | y |
| 95.8% | 2 | z |
| 93.0% | 1 | t |
| 98.1% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 98.1% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 98.1% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 96.8% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.1% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 95.8% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 93.0% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.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 (+.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 (+.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) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (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) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (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 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (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)) (+.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))))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.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 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) 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 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))))) |
5 calls:
| 26.0ms | y |
| 22.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 21.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 21.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 21.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 97.5% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 99.4% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 99.4% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 97.5% | 2 | y |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.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 (+.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 (+.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) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (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) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (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 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (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)) (+.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))))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.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 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) 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 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))) |
2 calls:
| 22.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 21.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 99.4% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.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 (+.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 (+.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) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (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) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 (*.f64 t #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #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 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (+.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) t)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
1 calls:
| 19.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 27 to 19 computations (29.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 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 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (sqrt.f64 t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 x)) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 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))))) (sqrt.f64 t)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (sqrt.f64 y)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (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 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.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 (+.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 (+.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) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (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) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
6 calls:
| 19.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 18.0ms | x |
| 18.0ms | y |
| 18.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 2 | x |
| 89.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 96.3% | 3 | y |
| 96.6% | 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))) |
| 96.2% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 99.1% | 4 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 78 to 59 computations (24.4% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.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)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (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 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
5 calls:
| 26.0ms | z |
| 20.0ms | t |
| 14.0ms | y |
| 12.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 11.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 93.1% | 2 | t |
| 89.6% | 2 | y |
| 90.2% | 3 | z |
| 85.4% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 37 to 30 computations (18.9% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (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 (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 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
2 calls:
| 11.0ms | t |
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | t |
| 92.1% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.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 (+.f64 #s(literal 2 binary64) (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)))) |
(+.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 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (-.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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.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 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (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)))) |
6 calls:
| 17.0ms | t |
| 16.0ms | z |
| 11.0ms | y |
| 11.0ms | x |
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 87.7% | 3 | z |
| 73.2% | 3 | x |
| 85.6% | 3 | y |
| 81.7% | 3 | t |
| 72.7% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 42 to 34 computations (19% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (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 (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 #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) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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 |
|---|---|---|
| 87.4% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) (sqrt.f64 z)) |
(*.f64 x (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.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:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 4 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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)))) |
2 calls:
| 6.0ms | z |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 2 | y |
| 85.5% | 3 | z |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
(+.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))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (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:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (*.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)))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
3 calls:
| 25.0ms | y |
| 5.0ms | t |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 2 | t |
| 81.0% | 3 | y |
| 65.3% | 2 | z |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 z))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
4 calls:
| 7.0ms | t |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 1 | z |
| 44.5% | 1 | t |
| 51.7% | 3 | x |
| 60.8% | 2 | y |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
4 calls:
| 5.0ms | z |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.3% | 1 | z |
| 34.3% | 1 | t |
| 37.7% | 2 | x |
| 34.3% | 1 | y |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
4 calls:
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.5% | 1 | t |
| 11.2% | 2 | z |
| 11.3% | 2 | y |
| 11.4% | 2 | x |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
4 calls:
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.8% | 1 | t |
| 7.8% | 1 | z |
| 7.8% | 1 | y |
| 7.8% | 1 | x |
Compiled 20 to 16 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
4 calls:
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | x |
| 4.5% | 1 | y |
| 4.5% | 1 | z |
| 4.5% | 1 | t |
Compiled 20 to 16 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 12929888.656882156 | 15176894856.932072 |
| 41.0ms | 118× | 1 | valid |
| 2.0ms | 10× | 0 | valid |
Compiled 682 to 462 computations (32.3% saved)
ival-sqrt: 14.0ms (42.5% of total)ival-add: 8.0ms (24.3% of total)backward-pass: 6.0ms (18.2% of total)ival-sub: 5.0ms (15.2% of total)const: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0012067371722537 | 2.1707143876754658 |
| 0.0ms | 1.0000040586164687 | 1.0001390505153722 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0012067371722537 | 2.1707143876754658 |
| 0.0ms | 1.0000040586164687 | 1.0001390505153722 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.886117760953538 | 2.9996797032704547 |
| 0.0ms | 1.0000040586164687 | 1.0001390505153722 |
Compiled 42 to 31 computations (26.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.886117760953538 | 2.9996797032704547 |
| 0.0ms | 1.0000040586164687 | 1.0001390505153722 |
| 0.0ms | 5.21540641784668e-8 | 0.0006287064624075356 |
Compiled 42 to 31 computations (26.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 176764024811.96027 | 14327483569618186000.0 |
| 42.0ms | 91× | 1 | valid |
| 8.0ms | 53× | 0 | valid |
Compiled 501 to 372 computations (25.7% saved)
ival-sqrt: 13.0ms (32.4% of total)ival-add: 12.0ms (29.9% of total)ival-sub: 12.0ms (29.9% of total)backward-pass: 3.0ms (7.5% of total)const: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.189298927783966e-6 |
Compiled 42 to 31 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 31820229.48087802 | 65938954.918997794 |
| 46.0ms | 2.2211419979994643e-156 | 1.0406179202063599e-154 |
| 63.0ms | 169× | 1 | valid |
| 6.0ms | 23× | 0 | valid |
Compiled 672 to 501 computations (25.4% saved)
ival-sqrt: 23.0ms (48.5% of total)ival-add: 12.0ms (25.3% of total)ival-sub: 7.0ms (14.8% of total)backward-pass: 6.0ms (12.7% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 8.08555679613997 | 4833.331236329021 |
| 41.0ms | 2.2211419979994643e-156 | 1.0406179202063599e-154 |
| 77.0ms | 210× | 1 | valid |
| 4.0ms | 30× | 0 | valid |
Compiled 765 to 594 computations (22.4% saved)
ival-sqrt: 28.0ms (44.1% of total)ival-add: 17.0ms (26.8% of total)backward-pass: 9.0ms (14.2% of total)ival-sub: 8.0ms (12.6% of total)const: 1.0ms (1.6% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.7909285698210753e+25 | 1.3999545355552726e+29 |
| 51.0ms | 8.08555679613997 | 4833.331236329021 |
| 66.0ms | 2.2211419979994643e-156 | 1.0406179202063599e-154 |
| 148.0ms | 346× | 1 | valid |
| 3.0ms | 22× | 0 | valid |
Compiled 1125 to 858 computations (23.7% saved)
ival-sqrt: 40.0ms (32.4% of total)backward-pass: 40.0ms (32.4% of total)ival-add: 25.0ms (20.3% of total)ival-sub: 18.0ms (14.6% of total)const: 1.0ms (0.8% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 22209876757055.043 | 33955667465643.816 |
| 41.0ms | 2.2211419979994643e-156 | 1.0406179202063599e-154 |
| 76.0ms | 158× | 1 | valid |
| 3.0ms | 18× | 0 | valid |
Compiled 533 to 418 computations (21.6% saved)
ival-add: 32.0ms (48.6% of total)ival-sqrt: 19.0ms (28.9% of total)ival-sub: 9.0ms (13.7% of total)backward-pass: 5.0ms (7.6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7123267485922.137 | 8347294970175.575 |
| 40.0ms | 2.2211419979994643e-156 | 1.0406179202063599e-154 |
| 49.0ms | 144× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 479 to 374 computations (21.9% saved)
ival-sqrt: 17.0ms (43% of total)ival-add: 11.0ms (27.8% of total)ival-sub: 6.0ms (15.2% of total)backward-pass: 6.0ms (15.2% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 0.003057794697947933 | 2.447373793102877 |
| 50.0ms | 2.961145429815788e-32 | 2.9694027091547197e-28 |
| 81.0ms | 231× | 1 | valid |
| 5.0ms | 25× | 0 | valid |
Compiled 706 to 550 computations (22.1% saved)
ival-sqrt: 27.0ms (40.4% of total)ival-add: 23.0ms (34.4% of total)ival-sub: 9.0ms (13.5% of total)backward-pass: 7.0ms (10.5% of total)const: 1.0ms (1.5% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.003057794697947933 | 2.447373793102877 |
| 46.0ms | 112× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 306 to 246 computations (19.6% saved)
ival-sqrt: 21.0ms (57.3% of total)ival-add: 8.0ms (21.8% of total)ival-sub: 4.0ms (10.9% of total)backward-pass: 3.0ms (8.2% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 0.003057794697947933 | 2.447373793102877 |
| 39.0ms | 112× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 306 to 246 computations (19.6% saved)
ival-sqrt: 13.0ms (40.7% of total)ival-add: 9.0ms (28.1% of total)ival-sub: 5.0ms (15.6% of total)backward-pass: 5.0ms (15.6% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 265.0ms | 0.08319538500221797 | 7.082368738850174 |
| 259.0ms | 96× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 224 to 184 computations (17.9% saved)
ival-add: 234.0ms (92.4% of total)ival-sqrt: 12.0ms (4.7% of total)ival-sub: 4.0ms (1.6% of total)backward-pass: 3.0ms (1.2% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 260.0ms | 1.9493966762316865e-66 | 8.092878266324919e-63 |
| 254.0ms | 118× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 202 to 174 computations (13.9% saved)
ival-add: 223.0ms (90.8% of total)ival-sqrt: 14.0ms (5.7% of total)ival-sub: 5.0ms (2% of total)backward-pass: 4.0ms (1.6% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 188× | +-commutative_binary64 |
| 72× | sub-neg_binary64 |
| 48× | *-commutative_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 1279 |
| 1 | 317 | 1279 |
| 2 | 371 | 1279 |
| 3 | 405 | 1279 |
| 4 | 420 | 1279 |
| 5 | 421 | 1279 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 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 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) (sqrt.f64 t)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 944473296573929/9444732965739290427392 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 4504049987333233/4503599627370496 binary64)) (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 6530219459687219/2251799813685248 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))))) |
(if (<=.f64 t #s(literal 180000000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (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 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 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 0 binary64)) (+.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 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) |
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 58000000 binary64)) (+.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 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 x) (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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (if (<=.f64 z #s(literal 41999999999999998221615104 binary64)) (-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 25500000000000 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 8200000000000 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (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 y #s(literal 6467216107573881/22300745198530623141535718272648361505980416 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (if (<=.f64 y #s(literal 4728779608739021/2251799813685248 binary64)) (-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 6877123763982683/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 75000000 binary64)) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (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 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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 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 y #s(literal 1 binary64))) (*.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (if (<=.f64 z #s(literal 41999999999999998221615104 binary64)) (-.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) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (if (<=.f64 z #s(literal 4800 binary64)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) (if (<=.f64 z #s(literal 41999999999999998221615104 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) |
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 25500000000000 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))) (+.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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (if (<=.f64 z #s(literal 25500000000000 binary64)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(if (<=.f64 z #s(literal 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (if (<=.f64 z #s(literal 8200000000000 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (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 8695209426788831/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (if (<=.f64 z #s(literal 8200000000000 binary64)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(if (<=.f64 y #s(literal 6467216107573881/22300745198530623141535718272648361505980416 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (if (<=.f64 y #s(literal 4728779608739021/2251799813685248 binary64)) (-.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 #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 y #s(literal 6467216107573881/22300745198530623141535718272648361505980416 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (if (<=.f64 y #s(literal 4728779608739021/2251799813685248 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/8 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 6877123763982683/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 x #s(literal 1/2 binary64)) |
| 7296× | +-lowering-+.f64 |
| 7296× | +-lowering-+.f32 |
| 6826× | +-lowering-+.f64 |
| 6826× | +-lowering-+.f32 |
| 6288× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 165 |
| 1 | 339 | 162 |
| 2 | 3818 | 162 |
| 0 | 8336 | 162 |
| 0 | 651 | 6678 |
| 1 | 2175 | 5975 |
| 2 | 7412 | 5972 |
| 0 | 8008 | 5972 |
| 0 | 1516 | 17507 |
| 1 | 5555 | 14971 |
| 0 | 8408 | 14971 |
| 0 | 1309 | 14475 |
| 1 | 4821 | 13328 |
| 0 | 8666 | 13328 |
| 0 | 1556 | 15757 |
| 1 | 5713 | 14969 |
| 0 | 8186 | 14969 |
| 0 | 57 | 420 |
| 1 | 587 | 356 |
| 0 | 8219 | 356 |
| 0 | 58 | 348 |
| 1 | 544 | 309 |
| 2 | 6690 | 309 |
| 0 | 8681 | 309 |
| 0 | 24 | 30 |
| 1 | 55 | 29 |
| 2 | 220 | 29 |
| 3 | 1630 | 29 |
| 4 | 5493 | 29 |
| 0 | 8399 | 29 |
| 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 |
Compiled 4744 to 2657 computations (44% saved)
Compiled 3020 to 582 computations (80.7% saved)
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