
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 939.0ms | 8 256× | 0 | valid |
ival-sin: 400.0ms (54% of total)ival-mult: 162.0ms (21.9% of total)ival-div: 156.0ms (21.1% of total)exact: 12.0ms (1.6% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 0 | - | 7 | (1.0806928041549716e-159) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 132 | (-5.122988351051912e+35) | 0 | - | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | sensitivity | 132 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | u/n | 58 | 0 |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | underflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 7 |
| - | 132 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 7 |
| - | 132 | 0 | 59 |
| number | freq |
|---|---|
| 0 | 66 |
| 1 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 90.0ms | 512× | 0 | valid |
Compiled 127 to 37 computations (70.9% saved)
ival-sin: 24.0ms (55.7% of total)ival-div: 9.0ms (20.9% of total)ival-mult: 9.0ms (20.9% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 293× | times-frac |
| 207× | associate-*r/ |
| 206× | associate-*r* |
| 142× | associate-*l* |
| 135× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 35 | 29 |
| 2 | 95 | 28 |
| 3 | 296 | 28 |
| 4 | 900 | 28 |
| 5 | 1747 | 28 |
| 6 | 1848 | 28 |
| 7 | 1878 | 28 |
| 8 | 1906 | 28 |
| 9 | 1918 | 28 |
| 10 | 1990 | 28 |
| 11 | 2425 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 36 | 14 |
| 3 | 45 | 14 |
| 4 | 48 | 14 |
| 0 | 48 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(negabs x)
Compiled 17 to 11 computations (35.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.4% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| cost-diff | 704 | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 23× | lower-*.f32 |
| 20× | lower-*.f64 |
| 10× | *-commutative |
| 5× | associate-/l* |
| 5× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 19 | 45 |
| 1 | 26 | 45 |
| 2 | 36 | 45 |
| 3 | 45 | 45 |
| 4 | 48 | 45 |
| 0 | 48 | 45 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.3203125 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 14.35716233145894 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 37.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 20.0ms (68.7% of total)ival-div: 4.0ms (13.7% of total)ival-mult: 4.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | inf | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | inf | (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
| 1.0ms | x | @ | 0 | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 0.0ms | x | @ | -inf | (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
| 1× | egg-herbie |
| 9 253× | lower-fma.f64 |
| 9 253× | lower-fma.f32 |
| 2 185× | lower-+.f64 |
| 2 185× | lower-+.f32 |
| 1 831× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1799 | 408 |
| 4 | 3352 | 408 |
| 5 | 4719 | 408 |
| 6 | 5032 | 408 |
| 7 | 5327 | 408 |
| 8 | 5949 | 408 |
| 9 | 7813 | 408 |
| 0 | 8080 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/30240 binary64) x) x #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/241920 binary64) x) x #s(literal 1/1440 binary64)) x) x #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 1 210× | lower-*.f32 |
| 1 207× | lower-*.f64 |
| 1 004× | lower-/.f32 |
| 1 003× | lower-/.f64 |
| 689× | log-div |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 19 | 5 |
| 1 | 34 | 5 |
| 2 | 115 | 5 |
| 3 | 628 | 5 |
| 4 | 4915 | 5 |
| 0 | 19 | 34 |
| 1 | 34 | 28 |
| 2 | 115 | 28 |
| 3 | 628 | 24 |
| 0 | 4915 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 x) |
| Outputs |
|---|
#s(literal 8/3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal -8/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64)) |
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(pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8/3 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -8/3 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -8/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 8/3 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 8/3 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -8/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(+.f64 (sin.f64 x) #s(literal 0 binary64)) |
Compiled 5 289 to 749 computations (85.8% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 31 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 31 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) | |
| 54.2% | (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) | |
| 54.1% | (/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)) | |
| 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) | |
| 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) | |
| 51.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) | |
| 54.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| 54.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 52.0% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))) | |
| ▶ | 77.3% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
| 26.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/30240 binary64) x) x #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| 54.2% | (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) | |
| 54.1% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) | |
| 54.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) | |
| ▶ | 54.1% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 54.2% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| 51.4% | (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) | |
| 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| ▶ | 99.5% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
| 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) | |
| 54.1% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) | |
| 54.2% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) | |
| 99.3% | (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 99.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| ▶ | 54.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
| 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 49.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| 77.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) | |
| ▶ | 49.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
Compiled 870 to 622 computations (28.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 x)) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) | |
| cost-diff | 7168 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) | |
| cost-diff | 7168 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 x #s(literal 2/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| cost-diff | 384 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) | |
| cost-diff | 576 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
| 1 030× | lower-fma.f32 |
| 1 029× | lower-fma.f64 |
| 742× | lower-*.f32 |
| 733× | lower-*.f64 |
| 421× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 200 |
| 0 | 64 | 186 |
| 1 | 98 | 183 |
| 2 | 168 | 183 |
| 3 | 343 | 175 |
| 4 | 822 | 175 |
| 5 | 1536 | 175 |
| 6 | 2213 | 175 |
| 7 | 3138 | 175 |
| 8 | 4687 | 175 |
| 9 | 4958 | 175 |
| 10 | 5081 | 175 |
| 11 | 5119 | 175 |
| 12 | 5137 | 175 |
| 13 | 5210 | 175 |
| 14 | 5285 | 175 |
| 15 | 5340 | 175 |
| 16 | 5788 | 175 |
| 17 | 5892 | 175 |
| 18 | 5952 | 175 |
| 19 | 5990 | 175 |
| 20 | 5994 | 175 |
| 21 | 5994 | 175 |
| 22 | 6018 | 175 |
| 23 | 6164 | 175 |
| 24 | 6185 | 175 |
| 25 | 6193 | 175 |
| 26 | 6193 | 175 |
| 0 | 6193 | 174 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(*.f64 x #s(literal 2/3 binary64)) |
x |
#s(literal 2/3 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
#s(literal -8/3 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 3/8 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 x #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
x |
#s(literal 2/3 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) |
(/.f64 #s(literal -8/3 binary64) (sin.f64 x)) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
#s(literal -8/3 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| accuracy | 0.25619125976844204 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.296875 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) | |
| accuracy | 14.35716233145894 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (sin.f64 x)) | |
| accuracy | 0.39453125 | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) | |
| accuracy | 14.435951317121068 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) | |
| accuracy | 14.531701566670526 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.36328125 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 14.435951317121068 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| accuracy | 14.50267301523432 | (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) | |
| accuracy | 0.30078125 | (*.f64 x #s(literal 2/3 binary64)) | |
| accuracy | 32.16820732639844 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.1171875 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) | |
| accuracy | 0.16015625 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.2265625 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
| 228.0ms | 37× | 1 | valid |
| 70.0ms | 66× | 2 | valid |
| 63.0ms | 135× | 0 | valid |
| 14.0ms | 18× | 3 | valid |
Compiled 188 to 38 computations (79.8% saved)
ival-add: 215.0ms (64.4% of total)ival-mult: 42.0ms (12.6% of total)ival-cos: 22.0ms (6.6% of total)ival-sin: 22.0ms (6.6% of total)ival-div: 9.0ms (2.7% of total)const: 9.0ms (2.7% of total)adjust: 7.0ms (2.1% of total)ival-pow2: 3.0ms (0.9% of total)ival-sub: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2/3 binary64)) (patch (*.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) (patch (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/16 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/48 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (patch (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | x | @ | 0 | (+ (* -1/2 (cos x)) 1/2) |
| 2.0ms | x | @ | inf | (* (+ (* -1/2 (cos x)) 1/2) (/ 8/3 (sin x))) |
| 1.0ms | x | @ | -inf | (* (+ (* -1/2 (cos x)) 1/2) (/ 8/3 (sin x))) |
| 1.0ms | x | @ | inf | (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) |
| 1.0ms | x | @ | -inf | (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) |
| 1× | egg-herbie |
| 7 647× | lower-fma.f64 |
| 7 647× | lower-fma.f32 |
| 2 940× | lower-+.f64 |
| 2 940× | lower-+.f32 |
| 2 345× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1946 |
| 1 | 695 | 1946 |
| 2 | 1730 | 1940 |
| 3 | 3294 | 1934 |
| 4 | 5803 | 1934 |
| 5 | 6849 | 1934 |
| 0 | 8191 | 1796 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(/ -8/3 x) |
(/ (- (* -4/9 (pow x 2)) 8/3) x) |
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(/ -8/3 (sin x)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4)) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(* -1/2 (- 1 (cos x))) |
(/ 1 x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(/ 1 (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
(pow (sin (* 1/2 x)) 2) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/1440 binary64) x) x #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/241920 binary64) x) x #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) x) x #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
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(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 2 224× | lower-*.f32 |
| 2 215× | lower-*.f64 |
| 1 580× | lower-/.f32 |
| 1 575× | lower-/.f64 |
| 1 337× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 165 |
| 0 | 64 | 148 |
| 1 | 170 | 148 |
| 2 | 806 | 146 |
| 3 | 6968 | 140 |
| 0 | 8033 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(*.f64 x #s(literal 2/3 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(cos.f64 x) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -8/3 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64)) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal -8/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
Compiled 28 270 to 2 578 computations (90.9% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 572 | 7 | 1 579 |
| Fresh | 15 | 11 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 591 | 19 | 1 610 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) | |
| ▶ | 54.2% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
| 54.2% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x)) | |
| 54.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| 54.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| ▶ | 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
| 54.1% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) | |
| 54.2% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| 54.1% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) | |
| ▶ | 54.2% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
| 99.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 54.0% | (*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) | |
| 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ▶ | 49.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| 77.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) | |
| ✓ | 49.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
| ▶ | 99.6% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
Compiled 441 to 327 computations (25.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 704 | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) | |
| cost-diff | 6848 | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 320 | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) | |
| cost-diff | 6976 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
| 1 379× | lower-fma.f32 |
| 1 375× | lower-fma.f64 |
| 877× | lower-*.f32 |
| 867× | lower-*.f64 |
| 572× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 262 |
| 0 | 79 | 255 |
| 1 | 125 | 253 |
| 2 | 228 | 244 |
| 3 | 502 | 242 |
| 4 | 1212 | 242 |
| 5 | 2281 | 242 |
| 6 | 3234 | 242 |
| 7 | 4206 | 242 |
| 8 | 5403 | 242 |
| 9 | 5888 | 242 |
| 10 | 5953 | 242 |
| 11 | 5981 | 242 |
| 12 | 5992 | 242 |
| 13 | 6206 | 242 |
| 14 | 6412 | 242 |
| 15 | 6584 | 242 |
| 16 | 6623 | 242 |
| 17 | 6625 | 242 |
| 18 | 6625 | 242 |
| 19 | 6625 | 242 |
| 20 | 6625 | 242 |
| 21 | 6648 | 242 |
| 22 | 6669 | 242 |
| 23 | 6677 | 242 |
| 24 | 6677 | 242 |
| 25 | 6682 | 242 |
| 26 | 6683 | 242 |
| 0 | 6683 | 242 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 4/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) |
(*.f64 #s(literal 1/540 binary64) x) |
#s(literal 1/540 binary64) |
x |
#s(literal -1/18 binary64) |
#s(literal 2/3 binary64) |
(sin.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
#s(literal 3/8 binary64) |
(sin.f64 x) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 4/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) |
(*.f64 #s(literal 1/540 binary64) x) |
#s(literal 1/540 binary64) |
x |
#s(literal -1/18 binary64) |
#s(literal 2/3 binary64) |
(sin.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
#s(literal 3/8 binary64) |
(sin.f64 x) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.15625 | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) | |
| accuracy | 14.32641922603657 | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) | |
| accuracy | 14.50267301523432 | (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.19921875 | (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) | |
| accuracy | 14.429305110592475 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) | |
| accuracy | 14.531701566670526 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.17578125 | (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) | |
| accuracy | 0.19140625 | (*.f64 #s(literal 1/540 binary64) x) | |
| accuracy | 14.35716233145894 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| accuracy | 31.856219492399845 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| accuracy | 32.24441783042494 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) | |
| accuracy | 0.0078125 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.28125 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
| 93.0ms | 135× | 0 | valid |
| 56.0ms | 59× | 2 | valid |
| 55.0ms | 25× | 3 | valid |
| 22.0ms | 37× | 1 | valid |
Compiled 235 to 50 computations (78.7% saved)
const: 46.0ms (23.6% of total)ival-cos: 41.0ms (21% of total)ival-mult: 40.0ms (20.5% of total)ival-sin: 19.0ms (9.7% of total)adjust: 18.0ms (9.2% of total)ival-div: 14.0ms (7.2% of total)ival-add: 9.0ms (4.6% of total)ival-tan: 5.0ms (2.6% of total)ival-sub: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) (patch (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/540 binary64) x) (patch (*.f64 #s(literal 1/540 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/540 (pow x 2)) 1/18)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/540 (pow x 2)) 1/18)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/540 (pow x 2)) 1/18)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/540 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/8 (* -1/16 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16)))) (taylor 0 x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (sin x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (* (tan (* 1/2 x)) 4/3) |
| 3.0ms | x | @ | inf | (* (+ (* (* x x) 1/18) 2/3) x) |
| 1.0ms | x | @ | -inf | (* (tan (* 1/2 x)) 4/3) |
| 1.0ms | x | @ | -inf | (/ 1/2 (* 3/8 (sin x))) |
| 1.0ms | x | @ | inf | (* (* (+ (* (* (+ (* (* 1/540 x) x) -1/18) x) x) 2/3) x) x) |
| 1× | egg-herbie |
| 8 941× | lower-fma.f64 |
| 8 941× | lower-fma.f32 |
| 2 493× | lower-*.f64 |
| 2 493× | lower-*.f32 |
| 1 796× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 2126 |
| 1 | 666 | 2126 |
| 2 | 1692 | 2126 |
| 3 | 4031 | 2126 |
| 4 | 6185 | 2126 |
| 0 | 8270 | 1983 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* 1/540 (pow x 6)) |
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 6)) |
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 2/3 x) |
(* x (+ 2/3 (* -1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* 1/540 (pow x 5)) |
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4)))))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(/ 4/3 x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* 1/540 x) |
(* -1/18 x) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(* 1/540 (pow x 3)) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* 3/8 x) |
(* x (+ 3/8 (* -1/16 (pow x 2)))) |
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16)))) |
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16)))) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
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(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/80640 binary64) x) x #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* 1/540 x) |
(*.f64 #s(literal 1/540 binary64) x) |
(* -1/18 x) |
(*.f64 #s(literal -1/18 binary64) x) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* x (- (* 1/540 (pow x 2)) 1/18)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* 1/540 (pow x 3)) |
(*.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) x) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* 1/540 (pow x 3)) |
(*.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(* 3/8 x) |
(*.f64 #s(literal 3/8 binary64) x) |
(* x (+ 3/8 (* -1/16 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) x #s(literal 3/8 binary64)) x) |
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/320 binary64) x) x #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x) |
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/13440 binary64) (*.f64 x x) #s(literal 1/320 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(* 3/8 (sin x)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
| 2 262× | lower-*.f32 |
| 2 252× | lower-*.f64 |
| 2 197× | lower-/.f32 |
| 2 193× | lower-/.f64 |
| 1 697× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 219 |
| 0 | 79 | 212 |
| 1 | 232 | 201 |
| 2 | 1330 | 190 |
| 0 | 8440 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/540 binary64) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -4/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal -2/3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 8/27 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
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(*.f64 (*.f64 x (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
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(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/324 binary64))) (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal 1/18 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/157464000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832 binary64))) (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1/324 binary64) (*.f64 #s(literal -1/540 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/324 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1/324 binary64) (*.f64 #s(literal -1/540 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/157464000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/324 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/291600 binary64) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1/324 binary64) (*.f64 #s(literal -1/540 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/157464000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/540 binary64) x) x) x (*.f64 #s(literal -1/18 binary64) x)) |
(fma.f64 #s(literal -1/18 binary64) x (*.f64 (*.f64 (*.f64 #s(literal 1/540 binary64) x) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/540 binary64) x) x) (*.f64 x #s(literal -1/18 binary64))) |
(fma.f64 x #s(literal -1/18 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/540 binary64) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/540 binary64) x) x) x) (*.f64 #s(literal -1/18 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 1/540 binary64) x) x) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/540 binary64) x) x)) (*.f64 x #s(literal -1/18 binary64))) |
(+.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/540 binary64) x) x))) |
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -8/3 binary64)) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
Compiled 28 072 to 2 522 computations (91% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 364 | 9 | 1 373 |
| Fresh | 10 | 3 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 377 | 15 | 1 392 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
| 54.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| 54.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| ▶ | 99.8% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
| ▶ | 49.6% | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
| ▶ | 49.7% | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
| 54.1% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| 49.4% | #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 49.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
| 99.4% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 99.4% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) | |
| 99.4% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))) | |
| ✓ | 99.6% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
Compiled 305 to 223 computations (26.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 6592 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 704 | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
| 1 176× | lower-fma.f32 |
| 1 174× | lower-fma.f64 |
| 860× | lower-*.f32 |
| 855× | lower-*.f64 |
| 737× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 205 |
| 0 | 55 | 196 |
| 1 | 86 | 194 |
| 2 | 135 | 194 |
| 3 | 252 | 194 |
| 4 | 504 | 182 |
| 5 | 825 | 182 |
| 6 | 1548 | 182 |
| 7 | 3176 | 182 |
| 8 | 4943 | 182 |
| 9 | 5964 | 182 |
| 10 | 6755 | 182 |
| 11 | 7101 | 182 |
| 12 | 7162 | 182 |
| 13 | 7200 | 182 |
| 14 | 7532 | 182 |
| 15 | 7693 | 182 |
| 16 | 7726 | 182 |
| 17 | 7733 | 182 |
| 18 | 7735 | 182 |
| 19 | 7737 | 182 |
| 20 | 7741 | 182 |
| 21 | 7741 | 182 |
| 0 | 8115 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#s(literal 3/8 binary64) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) |
#s(literal 1/480 binary64) |
(*.f64 x x) |
x |
#s(literal 1/48 binary64) |
#s(literal 1/4 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(literal 3/8 binary64) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(sin.f64 x) |
#s(literal 3/4 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#s(literal 3/8 binary64) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
#s(literal 1/480 binary64) |
(*.f64 x x) |
x |
#s(literal 1/48 binary64) |
#s(literal 1/4 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(literal 3/8 binary64) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(sin.f64 x) |
#s(literal 3/4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.19921875 | (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) | |
| accuracy | 14.419207600826494 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) | |
| accuracy | 14.531701566670526 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.16796875 | (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) | |
| accuracy | 0.078125 | (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) | |
| accuracy | 0.15625 | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) | |
| accuracy | 32.27218281435723 | #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/4 binary64) x) | |
| accuracy | 0.15625 | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) | |
| accuracy | 32.174661755510385 | #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) | |
| accuracy | 0 | (/.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.15625 | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
| 57.0ms | 59× | 2 | valid |
| 45.0ms | 135× | 0 | valid |
| 23.0ms | 25× | 3 | valid |
| 17.0ms | 37× | 1 | valid |
Compiled 176 to 34 computations (80.7% saved)
ival-mult: 29.0ms (25.5% of total)ival-cos: 22.0ms (19.3% of total)ival-div: 15.0ms (13.2% of total)adjust: 15.0ms (13.2% of total)ival-tan: 8.0ms (7% of total)const: 8.0ms (7% of total)ival-sin: 8.0ms (7% of total)ival-add: 6.0ms (5.3% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) (patch #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) x) (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) (patch #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 x) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/4 (* 1/48 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 x) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/4 (* -1/8 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (sin x)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/48 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/48 (* 1/480 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/48 (* 1/480 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/48 (* 1/480 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/480 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/480 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | (+ (* (+ (* 1/480 (* x x)) 1/48) (* x x)) 1/4) |
| 1.0ms | x | @ | inf | (/ 3/8 (* (tan (/ x 2)) 1/2)) |
| 1.0ms | x | @ | -inf | (/ 3/8 (* (tan (/ x 2)) 1/2)) |
| 0.0ms | x | @ | inf | (* (+ (* (+ (* 1/480 (* x x)) 1/48) (* x x)) 1/4) x) |
| 0.0ms | x | @ | -inf | (* 1/4 x) |
| 1× | egg-herbie |
| 6 732× | lower-fma.f64 |
| 6 732× | lower-fma.f32 |
| 2 486× | lower-*.f64 |
| 2 486× | lower-*.f32 |
| 1 578× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1942 |
| 1 | 502 | 1942 |
| 2 | 1240 | 1820 |
| 3 | 2951 | 1818 |
| 4 | 4804 | 1818 |
| 0 | 8620 | 1687 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* 1/480 (pow x 5)) |
(* (pow x 5) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* 1/480 (pow x 5)) |
(* (pow x 5) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/480))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/480))) |
1/4 |
(+ 1/4 (* 1/48 (pow x 2))) |
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))) |
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))) |
(* 1/480 (pow x 4)) |
(* (pow x 4) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* 1/480 (pow x 4)) |
(* (pow x 4) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/480 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2)))))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/ 3/2 x) |
(/ (+ 3/2 (* -1/8 (pow x 2))) x) |
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x) |
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 3/4 x) |
(* x (+ 3/4 (* -1/8 (pow x 2)))) |
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8)))) |
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8)))) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
1/48 |
(+ 1/48 (* 1/480 (pow x 2))) |
(+ 1/48 (* 1/480 (pow x 2))) |
(+ 1/48 (* 1/480 (pow x 2))) |
(* 1/480 (pow x 2)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* 1/480 (pow x 2)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) x) x #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) x) x #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
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(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* x (+ 3/4 (* -1/8 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/4 binary64)) x) |
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/160 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/4 binary64)) x) |
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6720 binary64) (*.f64 x x) #s(literal 1/160 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/4 binary64)) x) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(* 3/4 (sin x)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* 1/480 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(+ 1/48 (* 1/480 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(+ 1/48 (* 1/480 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* 1/480 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/480 binary64) x) x) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* 1/480 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/480 binary64) x) x) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(* (pow x 2) (+ 1/480 (* 1/48 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
| 3 092× | lower-fma.f32 |
| 3 090× | lower-fma.f64 |
| 2 629× | lower-*.f32 |
| 2 624× | lower-*.f64 |
| 1 873× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 167 |
| 0 | 55 | 158 |
| 1 | 192 | 156 |
| 2 | 1067 | 156 |
| 0 | 8467 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -8/3 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))) |
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -8/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3/4 binary64))) |
(*.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -8/3 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (cos.f64 x) (*.f64 #s(literal 9/16 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -3/4 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 #s(literal 4/3 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3/4 binary64)) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(*.f64 #s(literal 8/3 binary64) (*.f64 #s(literal 1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 3/4 binary64)) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 4/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (/.f64 (cos.f64 x) (*.f64 #s(literal -3/4 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 #s(literal -3/4 binary64) (sin.f64 x))))) (-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 #s(literal -3/4 binary64) (sin.f64 x))))) |
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(*.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 3/4 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -3/4 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(neg.f64 (*.f64 #s(literal -3/4 binary64) (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/4 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) #s(literal 1/23040 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) (*.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64)))) (neg.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/53084160000 binary64) #s(literal -1/5308416 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal 1/2304 binary64)) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 1/12230590464000000 binary64) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/53084160000 binary64) (+.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/530841600 binary64)))) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 1/12230590464000000 binary64) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/110592 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 1/12230590464000000 binary64)) (*.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 1/12230590464000000 binary64) (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/12230590464000 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64))) (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) #s(literal 1/23040 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64)) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) #s(literal 1/23040 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) #s(literal 1/23040 binary64)))) (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64))) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x #s(literal -1/2304 binary64)) (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/110592 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) |
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/480 binary64) x) #s(literal 1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal -1/48 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/480 binary64) x) x) #s(literal 1/48 binary64)) |
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal 1/480 binary64) x) x)) |
Compiled 28 414 to 2 527 computations (91.1% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 447 | 9 | 1 456 |
| Fresh | 5 | 2 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 454 | 17 | 1 471 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
| 54.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 99.4% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) | |
| 99.8% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) | |
| ✓ | 49.6% | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
| ✓ | 49.7% | (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
| 99.4% | (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 54.1% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 #s(literal 3/2 binary64) x))) | |
| 99.4% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) | |
| 49.4% | #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 49.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
| ✓ | 99.6% | #s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
Compiled 856 to 322 computations (62.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 #s(literal 3/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/540 binary64) x) x #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/30240 binary64) x) x #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
2 calls:
| 24.0ms | x |
| 16.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 #s(literal 3/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
2 calls:
| 14.0ms | x |
| 4.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 #s(literal 3/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
2 calls:
| 3.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | x |
| 50.1% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 #s(literal 3/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/180 binary64) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
2 calls:
| 3.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | x |
| 49.7% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
Total -0.3b remaining (-0.9%)
Threshold costs -0.3b (-0.9%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
2 calls:
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | x |
| 49.6% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 78 |
| 1 | 59 | 78 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
#s(approx (* (* (/ 1 (sin x)) -8/3) (* (- 1 (cos x)) -1/2)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/8 (* (tan (/ x 2)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 3/2 binary64)) x))) |
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 9 253× | lower-fma.f64 |
| 9 253× | lower-fma.f32 |
| 8 941× | lower-fma.f64 |
| 8 941× | lower-fma.f32 |
| 7 647× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 2126 |
| 1 | 666 | 2126 |
| 2 | 1692 | 2126 |
| 3 | 4031 | 2126 |
| 4 | 6185 | 2126 |
| 0 | 8270 | 1983 |
| 0 | 52 | 219 |
| 0 | 79 | 212 |
| 1 | 232 | 201 |
| 2 | 1330 | 190 |
| 0 | 8440 | 190 |
| 0 | 11 | 34 |
| 0 | 19 | 5 |
| 1 | 34 | 5 |
| 2 | 115 | 5 |
| 3 | 628 | 5 |
| 4 | 4915 | 5 |
| 0 | 19 | 34 |
| 1 | 34 | 28 |
| 2 | 115 | 28 |
| 3 | 628 | 24 |
| 0 | 4915 | 24 |
| 0 | 41 | 165 |
| 0 | 64 | 148 |
| 1 | 170 | 148 |
| 2 | 806 | 146 |
| 3 | 6968 | 140 |
| 0 | 8033 | 139 |
| 0 | 35 | 167 |
| 0 | 55 | 158 |
| 1 | 192 | 156 |
| 2 | 1067 | 156 |
| 0 | 8467 | 152 |
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1799 | 408 |
| 4 | 3352 | 408 |
| 5 | 4719 | 408 |
| 6 | 5032 | 408 |
| 7 | 5327 | 408 |
| 8 | 5949 | 408 |
| 9 | 7813 | 408 |
| 0 | 8080 | 384 |
| 0 | 179 | 1942 |
| 1 | 502 | 1942 |
| 2 | 1240 | 1820 |
| 3 | 2951 | 1818 |
| 4 | 4804 | 1818 |
| 0 | 8620 | 1687 |
| 0 | 263 | 1946 |
| 1 | 695 | 1946 |
| 2 | 1730 | 1940 |
| 3 | 3294 | 1934 |
| 4 | 5803 | 1934 |
| 5 | 6849 | 1934 |
| 0 | 8191 | 1796 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 197 to 133 computations (32.5% saved)
(negabs x)
Compiled 194 to 134 computations (30.9% saved)
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