
Time bar (total: 4.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 52 to 34 computations (34.6% saved)
| 2.1s | 8 256× | 0 | valid |
ival-sin: 405.0ms (22.3% of total)ival-cos: 369.0ms (20.3% of total)ival-mult: 297.0ms (16.3% of total)ival-div: 269.0ms (14.8% of total)ival-sub: 188.0ms (10.3% of total)ival-sqrt: 135.0ms (7.4% of total)ival-add: 126.0ms (6.9% of total)exact: 20.0ms (1.1% of total)ival-true: 6.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 1 | (-1.7178415494625436e-132 0.15230846266677409) | (-.f64 (cos.f64 x) (cos.f64 y)) |
| 1 | 0 | - | 1 | (14422665.596751424 -5.418854133739485e+215) | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) #s(literal 16 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 x) #s(literal 16 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (cos.f64 x) (cos.f64 y)) | cancellation | 6 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 6 | 250 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 6 | 3 | 247 |
| number | freq |
|---|---|
| 0 | 250 |
| 1 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 107.0ms | 368× | 0 | valid |
| 59.0ms | 60× | 2 | valid |
| 41.0ms | 84× | 1 | valid |
Compiled 855 to 132 computations (84.6% saved)
ival-cos: 42.0ms (24.7% of total)ival-sin: 30.0ms (17.6% of total)ival-mult: 24.0ms (14.1% of total)ival-div: 19.0ms (11.2% of total)adjust: 18.0ms (10.6% of total)ival-sub: 16.0ms (9.4% of total)ival-sqrt: 10.0ms (5.9% of total)ival-add: 9.0ms (5.3% of total)ival-true: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 50 to 32 computations (36% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 50 to 32 computations (36% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Inputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) |
| 51.0ms | 184× | 0 | valid |
| 26.0ms | 30× | 2 | valid |
| 21.0ms | 42× | 1 | valid |
Compiled 536 to 66 computations (87.7% saved)
ival-cos: 20.0ms (25.2% of total)ival-mult: 12.0ms (15.1% of total)ival-sin: 11.0ms (13.9% of total)ival-sub: 10.0ms (12.6% of total)ival-div: 9.0ms (11.3% of total)adjust: 7.0ms (8.8% of total)ival-add: 5.0ms (6.3% of total)ival-sqrt: 5.0ms (6.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(- (cos x) (cos y)) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)) (- 3 (sqrt 5)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 7.0ms | x | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)) (- 3 (sqrt 5)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 5.0ms | y | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)) (- 3 (sqrt 5)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 5.0ms | x | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)) (- 3 (sqrt 5)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 4.0ms | x | @ | 0 | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)) (- 3 (sqrt 5)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 1× | egg-herbie |
| Inputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(- (cos x) (cos y)) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Inputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
Compiled 844 to 72 computations (91.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 8 | 6 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 8 | 7 | 15 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ▶ | 9.2% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ▶ | 18.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ▶ | 8.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 17.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| ▶ | 6.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ▶ | 3.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
Compiled 836 to 546 computations (34.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(literal 3 binary64) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(cos.f64 x) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(cos.f64 x) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(cos.f64 y) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(literal 3 binary64) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(cos.f64 x) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(cos.f64 x) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(cos.f64 y) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 59.7741525291914 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| accuracy | 0.26791000976844204 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 58.81340257704518 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) | |
| accuracy | 0.26791000976844204 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 58.14244639735823 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| accuracy | 0.08984375 | (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) | |
| accuracy | 0.28125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| accuracy | 61.559303216791186 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) | |
| accuracy | 0.22722626953688402 | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) | |
| accuracy | 0.26791000976844204 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 52.47968498410643 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
| 62.0ms | 184× | 0 | valid |
| 36.0ms | 30× | 2 | valid |
| 26.0ms | 42× | 1 | valid |
Compiled 1 748 to 102 computations (94.2% saved)
ival-cos: 20.0ms (24.5% of total)ival-mult: 13.0ms (15.9% of total)ival-sin: 11.0ms (13.5% of total)adjust: 10.0ms (12.2% of total)ival-div: 9.0ms (11% of total)ival-sub: 7.0ms (8.6% of total)ival-add: 5.0ms (6.1% of total)ival-sqrt: 5.0ms (6.1% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* 1/2 (- (sqrt 5) 1)) |
(+ (* -1/4 (* (pow x 2) (- (sqrt 5) 1))) (* 1/2 (- (sqrt 5) 1))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* 1/48 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (sqrt 5) 1))) (* 1/48 (- (sqrt 5) 1))))))) |
(* -1/16 (sin y)) |
(- x (* 1/16 (sin y))) |
(- (* x (+ 1 (* -1/6 (pow x 2)))) (* 1/16 (sin y))) |
(- (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (* 1/16 (sin y))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(- (cos x) (cos y)) |
(cos x) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* 1/2 (* (cos x) (- (sqrt 5) 1))) |
(- (sin x) (* 1/16 (sin y))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(sin x) |
(+ (sin x) (* -1/16 y)) |
(+ (sin x) (* y (- (* 1/96 (pow y 2)) 1/16))) |
(+ (sin x) (* y (- (* (pow y 2) (+ 1/96 (* -1/1920 (pow y 2)))) 1/16))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- 3 (sqrt 5)) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (sqrt 2) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- (cos x) (cos y)) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (sin x) (/ (sin y) 16))) |
| 3.0ms | x | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- 3 (sqrt 5)) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (sqrt 2) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- (cos x) (cos y)) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (sin x) (/ (sin y) 16))) |
| 3.0ms | y | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- 3 (sqrt 5)) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (sqrt 2) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- (cos x) (cos y)) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (sin x) (/ (sin y) 16))) |
| 3.0ms | x | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- 3 (sqrt 5)) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (sqrt 2) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- (cos x) (cos y)) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (sin x) (/ (sin y) 16))) |
| 3.0ms | y | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- 3 (sqrt 5)) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (sqrt 2) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (- (cos x) (cos y)) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (sin x) (/ (sin y) 16))) |
| 1× | egg-herbie |
| Inputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* 1/2 (- (sqrt 5) 1)) |
(+ (* -1/4 (* (pow x 2) (- (sqrt 5) 1))) (* 1/2 (- (sqrt 5) 1))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* 1/48 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (sqrt 5) 1))) (* 1/48 (- (sqrt 5) 1))))))) |
(* -1/16 (sin y)) |
(- x (* 1/16 (sin y))) |
(- (* x (+ 1 (* -1/6 (pow x 2)))) (* 1/16 (sin y))) |
(- (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (* 1/16 (sin y))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(- (cos x) (cos y)) |
(cos x) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* 1/2 (* (cos x) (- (sqrt 5) 1))) |
(- (sin x) (* 1/16 (sin y))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(sin x) |
(+ (sin x) (* -1/16 y)) |
(+ (sin x) (* y (- (* 1/96 (pow y 2)) 1/16))) |
(+ (sin x) (* y (- (* (pow y 2) (+ 1/96 (* -1/1920 (pow y 2)))) 1/16))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(sqrt.f64 #s(literal 5 binary64)) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(cos.f64 x) |
(* -1/16 (* (sin y) (sqrt 2))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(- 1 (cos y)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
Compiled 5 587 to 132 computations (97.6% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 8 | 72 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 64 | 15 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 9.2% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 18.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 8.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ▶ | 20.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 19.6% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| ▶ | 17.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
| ✓ | 6.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 3.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
| 13.7% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| 13.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ▶ | 11.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ▶ | 17.0% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
| 8.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ▶ | 14.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
Compiled 1 718 to 960 computations (44.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(cos.f64 x) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(cos.f64 x) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 y) #s(literal 16 binary64)) |
(sin.f64 y) |
y |
#s(literal 16 binary64) |
(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) |
(/.f64 (sin.f64 x) #s(literal 16 binary64)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
(cos.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 52.995128354919835 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| accuracy | 0.25390625 | (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 59.7741525291914 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| accuracy | 61.024786441056996 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 61.024786441056996 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| accuracy | 61.559303216791186 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 5 binary64)) | |
| accuracy | 53.113732546737374 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 0.22722626953688402 | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) | |
| accuracy | 0.26791000976844204 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 51.04540906316353 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
| 57.0ms | 184× | 0 | valid |
| 28.0ms | 30× | 2 | valid |
| 20.0ms | 42× | 1 | valid |
Compiled 1 255 to 103 computations (91.8% saved)
ival-cos: 20.0ms (25.2% of total)ival-div: 13.0ms (16.4% of total)ival-mult: 12.0ms (15.1% of total)ival-sin: 11.0ms (13.9% of total)adjust: 7.0ms (8.8% of total)ival-sub: 7.0ms (8.8% of total)ival-add: 5.0ms (6.3% of total)ival-sqrt: 4.0ms (5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* 1/2 (- (sqrt 5) 1)) |
(+ (* -1/4 (* (pow x 2) (- (sqrt 5) 1))) (* 1/2 (- (sqrt 5) 1))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* 1/48 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (sqrt 5) 1))) (* 1/48 (- (sqrt 5) 1))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5))))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(cos x) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* 1/2 (* (cos x) (- (sqrt 5) 1))) |
(- (cos x) (cos y)) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) |
(+ (* -3/4 (* (pow y 2) (- 3 (sqrt 5)))) (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* 1/16 (* (pow y 2) (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* (pow y 2) (+ (* -1/480 (* (pow y 2) (- 3 (sqrt 5)))) (* 1/16 (- 3 (sqrt 5)))))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (cos x) (cos y)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 4.0ms | x | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (cos x) (cos y)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 4.0ms | y | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (cos x) (cos y)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 3.0ms | y | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (cos x) (cos y)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 2.0ms | x | @ | 0 | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt 5) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (* (/ (- (sqrt 5) 1) 2) (cos x)) (- (cos x) (cos y)) (* (sqrt 2) (- (sin x) (/ (sin y) 16)))) |
| 1× | egg-herbie |
| Inputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* 1/2 (- (sqrt 5) 1)) |
(+ (* -1/4 (* (pow x 2) (- (sqrt 5) 1))) (* 1/2 (- (sqrt 5) 1))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* 1/48 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 1/2 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (sqrt 5) 1))) (* 1/48 (- (sqrt 5) 1))))))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* -1/16 (* (sin y) (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (sqrt 2))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* -1/6 (* (pow x 2) (sqrt 2)))))) |
(+ (* -1/16 (* (sin y) (sqrt 2))) (* x (+ (sqrt 2) (* (pow x 2) (+ (* -1/6 (sqrt 2)) (* 1/120 (* (pow x 2) (sqrt 2)))))))) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5))))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(cos x) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* 1/2 (* (cos x) (- (sqrt 5) 1))) |
(- (cos x) (cos y)) |
(* (sqrt 2) (- (sin x) (* 1/16 (sin y)))) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) |
(+ (* -3/4 (* (pow y 2) (- 3 (sqrt 5)))) (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* 1/16 (* (pow y 2) (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* (pow y 2) (+ (* -1/480 (* (pow y 2) (- 3 (sqrt 5)))) (* 1/16 (- 3 (sqrt 5)))))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(* (sin x) (sqrt 2)) |
(+ (* -1/16 (* y (sqrt 2))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* 1/96 (* (pow y 2) (sqrt 2))))) (* (sin x) (sqrt 2))) |
(+ (* y (+ (* -1/16 (sqrt 2)) (* (pow y 2) (+ (* -1/1920 (* (pow y 2) (sqrt 2))) (* 1/96 (sqrt 2)))))) (* (sin x) (sqrt 2))) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(sqrt.f64 #s(literal 5 binary64)) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(cos.f64 x) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
1 |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(+ 1 (* -1/2 (pow x 2))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) |
Compiled 4 883 to 153 computations (96.9% saved)
31 alts after pruning (20 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 17 | 63 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 47 | 31 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 9.2% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 18.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 8.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 22.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| ✓ | 20.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ▶ | 22.7% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 21.4% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 21.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| ▶ | 11.4% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
| 19.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))))) | |
| 14.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 19.6% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| ✓ | 17.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
| 17.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y))))) | |
| ✓ | 6.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 3.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
| 13.7% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ▶ | 8.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 11.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ▶ | 9.0% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
| 9.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y)))) | |
| 8.5% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (cos.f64 y)))) | |
| 11.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| 7.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ✓ | 17.0% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
| ▶ | 17.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
| 8.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ✓ | 14.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
| 15.6% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) | |
| 8.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
Compiled 4 017 to 2 184 computations (45.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) | |
| cost-diff | 0 | #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(literal 3 binary64) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(literal 3 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
#s(literal 3 binary64) |
(sqrt.f64 #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 x) |
x |
(cos.f64 y) |
y |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
x |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(cos.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 13.709794348670389 | (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) | |
| accuracy | 56.57319602185369 | #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) | |
| accuracy | 59.7741525291914 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) | |
| accuracy | 61.024786441056996 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 51.04540906316353 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 60.04993348902106 | #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| accuracy | 61.024786441056996 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 59.7741525291914 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| accuracy | 61.600130140836626 | #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 52.584522726252956 | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.0 | (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) | |
| accuracy | 13.709794348670389 | (-.f64 (cos.f64 x) (cos.f64 y)) | |
| accuracy | 51.04540906316353 | #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 56.57319602185369 | #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
| 60.0ms | 184× | 0 | valid |
| 30.0ms | 30× | 2 | valid |
| 20.0ms | 42× | 1 | valid |
Compiled 1 451 to 98 computations (93.2% saved)
ival-cos: 21.0ms (25.2% of total)ival-sin: 14.0ms (16.8% of total)ival-mult: 12.0ms (14.4% of total)ival-div: 10.0ms (12% of total)adjust: 8.0ms (9.6% of total)ival-sub: 7.0ms (8.4% of total)ival-add: 5.0ms (6% of total)ival-sqrt: 4.0ms (4.8% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5))))))) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(cos x) |
(- (cos x) (cos y)) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) |
(+ (* -3/4 (* (pow y 2) (- 3 (sqrt 5)))) (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* 1/16 (* (pow y 2) (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* (pow y 2) (+ (* -1/480 (* (pow y 2) (- 3 (sqrt 5)))) (* 1/16 (- 3 (sqrt 5)))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (cos x) (- (cos x) (cos y)) (- (cos x) (cos y))) |
| 3.0ms | x | @ | inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (cos x) (- (cos x) (cos y)) (- (cos x) (cos y))) |
| 3.0ms | y | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (cos x) (- (cos x) (cos y)) (- (cos x) (cos y))) |
| 3.0ms | x | @ | -inf | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (cos x) (- (cos x) (cos y)) (- (cos x) (cos y))) |
| 2.0ms | x | @ | 0 | ((/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt 2) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- 3 (sqrt 5)) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos x) (cos x) (- (cos x) (cos y)) (- (cos x) (cos y))) |
| 1× | egg-herbie |
| Inputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* -1/16 (* x (sqrt 2))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (+ (* x (+ (* -1/16 (sqrt 2)) (* x (* (sqrt 2) (+ (* -1/6 (sin y)) (* -1/1536 (sin y))))))) (* (sqrt 2) (+ (sin y) (* 1/256 (sin y))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(- 1 (cos y)) |
(- (+ 1 (* -1/2 (pow x 2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (cos y)) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (cos y)) |
(* 1/3 (/ (+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5)))))))) |
(+ 2 (* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (* (cos y) (- 3 (sqrt 5))))))) |
(* (sqrt 2) (* (- (cos x) (cos y)) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x)))))) |
(* (sqrt 2) (* (- (sin x) (* 1/16 (sin y))) (- (sin y) (* 1/16 (sin x))))) |
(cos x) |
(- (cos x) (cos y)) |
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 1/3 (/ (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))))))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) (* y (+ (* 1/3 (* y (- (/ (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (* (- 3 (sqrt 5)) (- (cos x) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))) (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) (- 3 (sqrt 5))) (pow (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))) 2)))))))))) |
(+ 2 (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(+ 2 (+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) |
(+ (* -3/4 (* (pow y 2) (- 3 (sqrt 5)))) (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* 1/16 (* (pow y 2) (- 3 (sqrt 5))))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos x) (- (sqrt 5) 1))) (* 1/2 (- 3 (sqrt 5)))))) (* (pow y 2) (+ (* -3/4 (- 3 (sqrt 5))) (* (pow y 2) (+ (* -1/480 (* (pow y 2) (- 3 (sqrt 5)))) (* 1/16 (- 3 (sqrt 5)))))))) |
(* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (* (sqrt 2) (- (cos x) 1)))) (* y (+ (* y (+ (* y (* (sqrt 2) (+ (* 1/2 (+ (sin x) (* 1/256 (sin x)))) (* (+ (* -1/6 (sin x)) (* -1/1536 (sin x))) (- (cos x) 1))))) (* (sqrt 2) (+ (* -1/16 (- (cos x) 1)) (* -1/32 (pow (sin x) 2)))))) (* (sqrt 2) (* (+ (sin x) (* 1/256 (sin x))) (- (cos x) 1)))))) |
(* -1/16 (* (pow (sin x) 2) (sqrt 2))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (* (sqrt 2) (+ (sin x) (* 1/256 (sin x)))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* -1/16 (* y (sqrt 2))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(+ (* -1/16 (* (pow (sin x) 2) (sqrt 2))) (* y (+ (* y (+ (* -1/16 (sqrt 2)) (* y (* (sqrt 2) (+ (* -1/6 (sin x)) (* -1/1536 (sin x))))))) (* (sqrt 2) (+ (sin x) (* 1/256 (sin x))))))) |
(- (cos x) 1) |
(- (+ (cos x) (* 1/2 (pow y 2))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ (cos x) (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
| Outputs |
|---|
(* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(+ (* 1/3 (/ (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (* 1/3 (/ (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) (* x (+ (* 1/3 (* x (- (/ (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y))))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (* (- 1 (cos y)) (- (sqrt 5) 1)))) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))) (* 1/3 (- (/ (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))) (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* -1/4 (/ (* (+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) (- (sqrt 5) 1)) (pow (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))) 2)))))))))) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
(+ 2 (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
(+ 2 (+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(+ (* -3/4 (* (pow x 2) (- (sqrt 5) 1))) (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* 1/16 (* (pow x 2) (- (sqrt 5) 1)))))) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(+ (* 3 (+ 1 (+ (* 1/2 (* (cos y) (- 3 (sqrt 5)))) (* 1/2 (- (sqrt 5) 1))))) (* (pow x 2) (+ (* -3/4 (- (sqrt 5) 1)) (* (pow x 2) (+ (* -1/480 (* (pow x 2) (- (sqrt 5) 1))) (* 1/16 (- (sqrt 5) 1))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y)))))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
(cos.f64 x) |
(+ (* -1/16 (* (pow (sin y) 2) (* (sqrt 2) (- 1 (cos y))))) (* x (+ (* x (+ (* x (* (sqrt 2) (+ (* -1/2 (+ (sin y) (* 1/256 (sin y)))) (* (+ (* -1/6 (sin y)) (* -1/1536 (sin y))) (- 1 (cos y)))))) (* (sqrt 2) (+ (* -1/16 (- 1 (cos y))) (* 1/32 (pow (sin y) 2)))))) (* (sqrt 2) (* (+ (sin y) (* 1/256 (sin y))) (- 1 (cos y))))))) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(* -1/16 (* (pow (sin y) 2) (sqrt 2))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(+ (* -1/16 (* (pow (sin y) 2) (sqrt 2))) (* x (* (sqrt 2) (+ (sin y) (* 1/256 (sin y)))))) |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
| Inputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
(*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) |
#s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) |
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)) |
Compiled 4 534 to 101 computations (97.8% saved)
36 alts after pruning (21 fresh and 15 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 7 | 53 |
| Fresh | 1 | 14 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 10 | 11 |
| Total | 48 | 36 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 9.2% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 18.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 8.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 8.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 22.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| ✓ | 20.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| ✓ | 22.7% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 21.4% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 21.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 17.3% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) | |
| ✓ | 11.4% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
| 19.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))))) | |
| 10.1% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))))) | |
| 14.6% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 18.9% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) | |
| 11.9% | (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| 19.6% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) | |
| 17.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y))))) | |
| ✓ | 6.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 3.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
| 13.7% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| 11.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ✓ | 8.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 11.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 9.0% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
| 9.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y)))) | |
| 8.5% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (cos.f64 y)))) | |
| 11.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| 7.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| ✓ | 17.0% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
| ✓ | 17.8% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
| 8.2% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) | |
| ✓ | 14.3% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
| 15.6% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) | |
| 8.4% | #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
Compiled 5 915 to 1 659 computations (72% saved)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
3 calls:
| 11.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | y |
| 99.3% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y)))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
3 calls:
| 11.0ms | y |
| 10.0ms | x |
| 9.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.7% | 1 | x |
| 22.7% | 1 | y |
| 24.3% | 2 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)) (-.f64 #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 y)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) #s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
3 calls:
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.6% | 1 | y |
| 22.6% | 1 | x |
| 22.6% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| Outputs |
|---|
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
3 calls:
| 4.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.6% | 1 | y |
| 20.6% | 1 | x |
| 20.6% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y)))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (cos.f64 x))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y))) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (*.f64 #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) #s(approx (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) #s(approx (cos x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
3 calls:
| 4.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.6% | 1 | x |
| 19.6% | 1 | y |
| 19.6% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
Total -0.6b remaining (-1.1%)
Threshold costs -0.6b (-1.1%)
| Inputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
3 calls:
| 2.0ms | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.8% | 1 | y |
| 17.8% | 1 | x |
| 17.8% | 1 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
Compiled 52 to 36 computations (30.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3834881768934158 | 0.38462802844197325 |
Compiled 53 to 37 computations (30.2% saved)
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) #s(literal 3458764513820541/9007199254740992 binary64)) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(if (<=.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) #s(literal 3458764513820541/9007199254740992 binary64)) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (cos x) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) (/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 5 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
(/.f64 #s(approx (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))) |
#s(approx (/ (+ 2 (* (* (* (sqrt 2) (- (sin x) (/ (sin y) 16))) (- (sin y) (/ (sin x) 16))) (- (cos x) (cos y)))) (* 3 (+ (+ 1 (* (/ (- (sqrt 5) 1) 2) (cos x))) (* (/ (- 3 (sqrt 5)) 2) (cos y))))) (sqrt.f64 #s(literal 2 binary64))) |
| 1× | fuel |
Compiled 429 to 77 computations (82.1% saved)
Compiled 958 to 218 computations (77.2% saved)
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