
Time bar (total: 8.7s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-sin: 352.0ms (42.6% of total)ival-div: 234.0ms (28.3% of total)ival-mult: 221.0ms (26.7% of total)exact: 12.0ms (1.5% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 0 | - | 3 | (-3.1802995736807403e-162) | (/.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 | 126 | (-2191392333378094600.0) | 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 | 126 | 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 | 63 | 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 | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 3 |
| - | 126 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 3 |
| - | 126 | 0 | 64 |
| number | freq |
|---|---|
| 0 | 67 |
| 1 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 303.0ms | 512× | 0 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-div: 255.0ms (88.6% of total)ival-sin: 22.0ms (7.6% of total)ival-mult: 9.0ms (3.1% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 586× | times-frac |
| 414× | associate-*r/ |
| 412× | associate-*r* |
| 284× | associate-*l* |
| 270× | 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 16 to 11 computations (31.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.7% | (/.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 16 to 11 computations (31.3% 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)) |
| 46× | lower-*.f32 |
| 40× | lower-*.f64 |
| 20× | *-commutative |
| 10× | associate-/l* |
| 10× | 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)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.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 | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.22265625 | (*.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 | 0.33984375 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 15.345784440704575 | (/.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)) |
| 26.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 10.0ms (53.8% of total)ival-div: 4.0ms (21.5% of total)ival-mult: 4.0ms (21.5% 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 (* 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 (* 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 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 (* 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)) (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 (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 (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 (* 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)) (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 (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 (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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | inf | ((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | 0 | ((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x)) |
| 1× | egg-herbie |
| 18 506× | lower-fma.f64 |
| 18 506× | lower-fma.f32 |
| 4 370× | lower-+.f64 |
| 4 370× | lower-+.f32 |
| 3 662× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1793 | 408 |
| 4 | 3345 | 408 |
| 5 | 4708 | 408 |
| 6 | 5020 | 408 |
| 7 | 5315 | 408 |
| 8 | 5937 | 408 |
| 9 | 7802 | 408 |
| 0 | 8069 | 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)))))))) |
(* 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)))) |
(* 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)))) |
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)))) |
(* 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)) |
(* 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 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
(sin x) |
(sin x) |
(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)) |
(* 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 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 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 #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) |
(* 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) 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 #s(literal -1/30240 binary64) (*.f64 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) |
(* 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 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(* 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)) |
(*.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 (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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 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)) |
(*.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 (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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 2 420× | lower-*.f32 |
| 2 414× | lower-*.f64 |
| 2 008× | lower-/.f32 |
| 2 006× | lower-/.f64 |
| 534× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (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)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.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 (pow.f64 (sin.f64 x) #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))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #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))))) |
(*.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 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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))) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (neg.f64 (sin.f64 x)) (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) (/.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) (pow.f64 (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 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 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.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)) #s(literal 4/3 binary64)) (sin.f64 x))) |
(*.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)) #s(literal 4/3 binary64)) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.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)) #s(literal 4/3 binary64)) (sin.f64 x)) #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) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 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) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 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)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 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) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.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) (sin.f64 x)) (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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (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 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 #s(literal -2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) |
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(/.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) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 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) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 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 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.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 5 206 to 753 computations (85.5% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 22 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 312 | 22 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) | |
| ▶ | 51.3% | (/.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))) |
| 51.3% | (/.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)) | |
| 99.4% | (/.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 51.2% | (/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)) | |
| 51.3% | (/.f64 (/.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)))) (sin.f64 x)) | |
| 51.2% | (/.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)) | |
| 51.3% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 54.3% | (/.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 (/.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)))) | |
| 75.7% | (/.f64 (*.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)))) (sin.f64 x)) | |
| 75.6% | (/.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)) | |
| 29.1% | (/.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)) | |
| 51.3% | (/.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)))) | |
| ▶ | 51.2% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
| 51.3% | (*.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))) | |
| 51.3% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| 99.1% | (*.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)))) | |
| ▶ | 99.6% | (*.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))) |
| 51.3% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) | |
| ▶ | 99.2% | (*.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)))) |
| 75.6% | #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)))) | |
| ▶ | 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
Compiled 522 to 414 computations (20.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) | |
| cost-diff | 7680 | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal 3/8 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 3/8 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 | 0 | (*.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))) | |
| cost-diff | 384 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
| 2 540× | lower-fma.f32 |
| 2 538× | lower-fma.f64 |
| 1 964× | lower-*.f32 |
| 1 950× | lower-*.f64 |
| 1 482× | div-sub |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 166 |
| 0 | 56 | 165 |
| 1 | 86 | 165 |
| 2 | 117 | 165 |
| 3 | 156 | 165 |
| 4 | 242 | 165 |
| 5 | 429 | 161 |
| 6 | 888 | 157 |
| 7 | 1710 | 157 |
| 8 | 2836 | 157 |
| 9 | 4254 | 157 |
| 10 | 5377 | 157 |
| 11 | 6048 | 157 |
| 12 | 6295 | 157 |
| 13 | 6333 | 157 |
| 14 | 6364 | 157 |
| 15 | 6668 | 157 |
| 16 | 6797 | 157 |
| 17 | 6799 | 157 |
| 18 | 6799 | 157 |
| 19 | 6845 | 157 |
| 20 | 6903 | 157 |
| 21 | 7161 | 157 |
| 22 | 7383 | 157 |
| 23 | 7571 | 157 |
| 24 | 7571 | 157 |
| 25 | 7571 | 157 |
| 26 | 7571 | 157 |
| 27 | 7571 | 157 |
| 28 | 7571 | 157 |
| 0 | 7571 | 157 |
| 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 3/8 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 3/8 binary64) (sin.f64 x)) |
#s(literal 3/8 binary64) |
(sin.f64 x) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(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 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| 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 (*.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 (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 3/8 binary64) (sin.f64 x))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(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 3/8 binary64) (sin.f64 x)) |
#s(literal 3/8 binary64) |
(sin.f64 x) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(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 (/.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 #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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
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) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.31640625 | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.33984375 | (*.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)))) | |
| accuracy | 0.3984375 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 0.40462875976844204 | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| accuracy | 15.508275686922545 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 15.584901441097095 | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.28125 | (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) | |
| accuracy | 15.441314325892083 | (/.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))) | |
| accuracy | 15.493538007614823 | (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) | |
| accuracy | 0.27734375 | (*.f64 x #s(literal 2/3 binary64)) | |
| accuracy | 30.42552151622675 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) | |
| accuracy | 0.140625 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.20703125 | (*.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))) |
| 53.0ms | 26× | 3 | valid |
| 48.0ms | 72× | 2 | valid |
| 43.0ms | 126× | 0 | valid |
| 12.0ms | 32× | 1 | valid |
Compiled 168 to 35 computations (79.2% saved)
ival-sin: 42.0ms (34.1% of total)ival-cos: 25.0ms (20.3% of total)ival-mult: 20.0ms (16.2% of total)ival-div: 16.0ms (13% of total)adjust: 7.0ms (5.7% of total)const: 7.0ms (5.7% of total)ival-sub: 2.0ms (1.6% of total)ival-add: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (/.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))) (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 3/8 binary64) (sin.f64 x))) (patch (/.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))) #<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 3/8 binary64) (sin.f64 x)) (patch (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) (patch (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.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 (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<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 (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (* 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 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 (* 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 (* 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>) () ())) ()) |
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#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)) (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 (* 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 (* 2/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2/3 binary64)) (patch (*.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2/3 binary64)) (patch (*.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2/3 binary64)) (patch (*.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2/3 binary64)) (patch (*.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#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 (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#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 (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#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 (+ 1/2 (* -1/2 (cos x))) (taylor -inf x) (#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 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>) () ())) ()) |
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#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 (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) (patch (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) (patch (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) (patch (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) (patch (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin x) (- 1 (cos x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin x) (- 1 (cos x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin x) (- 1 (cos x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin x) (- 1 (cos x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (patch (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- 1 (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- 1 (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- 1 (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- 1 (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 #s(literal 2 binary64) (-.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 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 8/3 (sin x)) (taylor -inf x) (#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 (/ 8/3 (sin x)) (taylor -inf x) (#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 (/ 8/3 (sin x)) (taylor -inf x) (#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 (/ 8/3 (sin x)) (taylor -inf x) (#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 (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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (- 1 (cos x)) (* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x)) |
| 6.0ms | x | @ | 0 | ((/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (- 1 (cos x)) (* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x)) |
| 5.0ms | x | @ | inf | ((/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (- 1 (cos x)) (* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x)) |
| 1× | egg-herbie |
| 14 722× | lower-fma.f64 |
| 14 722× | lower-fma.f32 |
| 5 636× | lower-+.f64 |
| 5 636× | lower-+.f32 |
| 4 658× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1754 |
| 1 | 695 | 1754 |
| 2 | 1686 | 1748 |
| 3 | 3091 | 1748 |
| 4 | 5239 | 1748 |
| 5 | 5552 | 1748 |
| 6 | 6013 | 1748 |
| 7 | 7024 | 1748 |
| 0 | 8062 | 1630 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* 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)))))))) |
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))))))) |
(* 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)))) |
(* 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)))))))) |
(* 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)))))))) |
(* 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 |
(+ 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))) |
(* 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)))) |
(* 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 x) |
(/ (+ 4 (* -1/3 (pow x 2))) x) |
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x) |
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x) |
(/ 4 (pow x 2)) |
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2)) |
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2)) |
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2)) |
(* 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)))) |
(* 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 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(/ 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) |
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)))) |
(* 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 (/ (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))) |
(/ (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 (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 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) |
(* 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))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (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 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos 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 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(sin x) |
(sin x) |
(sin x) |
(sin 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 (/ (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))) |
(/ (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 (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 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) |
(* 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))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (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 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(/ 2 (- 1 (cos x))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos 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 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 4/3 x) |
(*.f64 x #s(literal 4/3 binary64)) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #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 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 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) |
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 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 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) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 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) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 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) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 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 (*.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)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 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 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 3/8 x) |
(*.f64 #s(literal 3/8 binary64) x) |
(* x (+ 3/8 (* -1/16 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 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 #s(literal 1/320 binary64) (*.f64 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) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 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) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ (+ 4 (* -1/3 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ 4 (pow x 2)) |
(/.f64 (/.f64 #s(literal 4 binary64) x) x) |
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) x) |
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x) |
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1512 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 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 (*.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)) x) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
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(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 3 974× | lower-*.f32 |
| 3 960× | lower-*.f64 |
| 3 542× | lower-/.f32 |
| 3 530× | lower-/.f64 |
| 2 196× | lower-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 132 |
| 0 | 56 | 131 |
| 1 | 161 | 122 |
| 2 | 809 | 119 |
| 3 | 7005 | 113 |
| 0 | 8109 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) (/.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 3/8 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 3/8 binary64) (sin.f64 x)) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.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 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.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))) #s(literal -8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 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))) #s(literal 1 binary64)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.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)) #s(literal 8/3 binary64)) |
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.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))) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.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))) #s(literal -1 binary64)) (/.f64 (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))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 8/3 binary64) (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))) #s(literal 1 binary64)) (/.f64 (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)) (neg.f64 (sin.f64 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(*.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)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -8/3 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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.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))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64)) |
(*.f64 (neg.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 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) |
(*.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 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 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))) (/.f64 #s(literal -1 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 (*.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 -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 (*.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 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(*.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 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.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 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.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 #s(literal 1 binary64) (*.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 (*.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))) #s(literal 1 binary64)) |
(*.f64 (*.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 x) #s(literal -1 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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(*.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 (sin.f64 x) #s(literal 3/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (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))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 3/4 binary64)) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) #s(literal 3/4 binary64)) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(/.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 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.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 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64))) |
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(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64)) |
(*.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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 8/3 binary64) (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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (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)) (neg.f64 (sin.f64 x)))) |
(*.f64 #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 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.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)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.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 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 #s(literal -8/3 binary64) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 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))) (sin.f64 x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(neg.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) |
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) #s(literal 8/3 binary64))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -3/8 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
Compiled 27 590 to 2 977 computations (89.2% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 556 | 13 | 1 569 |
| Fresh | 16 | 1 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 575 | 16 | 1 591 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) | |
| ✓ | 51.3% | (/.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))) |
| 75.6% | (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) | |
| ▶ | 99.8% | (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
| 51.3% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 52.4% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) | |
| ▶ | 52.1% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
| 99.3% | (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) | |
| 75.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 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)))))) | |
| ▶ | 51.3% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) |
| ▶ | 51.3% | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 51.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) | |
| ▶ | 56.7% | (*.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))) |
| ✓ | 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
| 99.5% | #s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
Compiled 288 to 263 computations (8.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) | |
| cost-diff | 192 | (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) | |
| cost-diff | 7296 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) | |
| cost-diff | 6592 | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 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))) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) | |
| cost-diff | 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))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 704 | (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
| 2 998× | lower-fma.f32 |
| 2 996× | lower-fma.f64 |
| 2 032× | div-sub |
| 2 012× | lower--.f32 |
| 2 010× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 171 |
| 0 | 63 | 159 |
| 1 | 91 | 158 |
| 2 | 148 | 158 |
| 3 | 278 | 158 |
| 4 | 528 | 158 |
| 5 | 1307 | 158 |
| 6 | 3146 | 156 |
| 7 | 4798 | 156 |
| 8 | 5685 | 156 |
| 9 | 6167 | 156 |
| 10 | 6283 | 156 |
| 11 | 6385 | 156 |
| 12 | 6491 | 156 |
| 13 | 7052 | 156 |
| 14 | 7629 | 156 |
| 0 | 8457 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 3/8 binary64) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
#s(literal 8/3 binary64) |
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) |
(/.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
(*.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))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 3/8 binary64) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
#s(literal 4/3 binary64) |
(sin.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
#s(literal -3/8 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) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 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 3/8 binary64) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
#s(literal 8/3 binary64) |
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) |
(/.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
(*.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 (/.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 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 3/8 binary64) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
#s(literal 4/3 binary64) |
(sin.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal -3/8 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) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 0.22265625 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) | |
| accuracy | 15.493538007614823 | (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 15.577772502450422 | (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.3984375 | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) | |
| accuracy | 15.331175734797034 | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 15.508275686922545 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) | |
| accuracy | 0.20703125 | (*.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))) | |
| accuracy | 27.678136321840412 | #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) x) | |
| accuracy | 0.40462875976844204 | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) | |
| accuracy | 30.298157367171786 | #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) | |
| accuracy | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
| 119.0ms | 79× | 2 | valid |
| 116.0ms | 126× | 0 | valid |
| 50.0ms | 18× | 3 | valid |
| 13.0ms | 33× | 1 | valid |
Compiled 165 to 37 computations (77.6% saved)
ival-cos: 82.0ms (30.2% of total)ival-sin: 82.0ms (30.2% of total)adjust: 51.0ms (18.8% of total)ival-div: 20.0ms (7.4% of total)ival-mult: 14.0ms (5.2% of total)const: 7.0ms (2.6% of total)ival-tan: 5.0ms (1.8% of total)ival-add: 5.0ms (1.8% of total)ival-sub: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% 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 2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) (patch (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) (patch #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) x) (patch (/.f64 #s(literal 4 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #<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>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) #<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>) () ()) |
| Outputs |
|---|
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) (patch (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) (patch (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) (patch (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 2 binary64)) (patch (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 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 (* 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 (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) (patch (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) (patch (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) (patch (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) 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 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) (patch (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 x) (taylor 0 x) (#s(alt #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) (patch #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* -1/3 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) (patch #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) (patch #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) (patch #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 4 binary64) x) (patch (/.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 4 binary64) x) (patch (/.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 4 binary64) x) (patch (/.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 4 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 4 binary64) x) (patch (/.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<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 (/ (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))) (patch (*.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))) #<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 (/ (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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/16 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<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 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 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 (* 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>) () ())) ()) |
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#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 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 (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 (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 4/3 binary64) (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 (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 (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/8 (- (* 1/2 (cos x)) 1/2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/8 (- (* 1/2 (cos x)) 1/2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/8 (- (* 1/2 (cos x)) 1/2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/8 (- (* 1/2 (cos x)) 1/2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (cos x)) 1/2) (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 (cos x)) 1/2) (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 (cos x)) 1/2) (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 (cos x)) 1/2) (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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | -inf | ((/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (* (/ 4/3 (sin x)) (- 1 (cos x))) (/ 4/3 (sin x)) (sin x) (- 1 (cos x)) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* (cos x) 1/2) -1/2)) |
| 6.0ms | x | @ | inf | ((/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (* (/ 4/3 (sin x)) (- 1 (cos x))) (/ 4/3 (sin x)) (sin x) (- 1 (cos x)) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* (cos x) 1/2) -1/2)) |
| 2.0ms | x | @ | 0 | ((/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (* (/ 4/3 (sin x)) (- 1 (cos x))) (/ 4/3 (sin x)) (sin x) (- 1 (cos x)) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* (cos x) 1/2) -1/2)) |
| 1× | egg-herbie |
| 14 772× | lower-fma.f64 |
| 14 772× | lower-fma.f32 |
| 6 140× | lower-+.f64 |
| 6 140× | lower-+.f32 |
| 4 202× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1910 |
| 1 | 754 | 1910 |
| 2 | 1877 | 1904 |
| 3 | 3510 | 1898 |
| 4 | 5969 | 1898 |
| 5 | 6962 | 1898 |
| 0 | 8119 | 1764 |
| 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)))))))) |
(* 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 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)))))))) |
(* 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)))))))) |
(/ 4 x) |
(/ (+ 4 (* -1/3 (pow x 2))) x) |
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x) |
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x) |
(/ 4 x) |
(/ 4 x) |
(/ 4 x) |
(/ 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)))))))) |
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))))))) |
(* 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)))) |
(* 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)))) |
(* 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 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) |
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)))) |
(* 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)))) |
(* 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)))))))) |
(/ 3/2 (pow x 2)) |
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2)) |
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2)) |
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2)) |
(/ -3/2 x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x) |
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) 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)) |
(* 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 (/ (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)))) |
(/ (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) |
(* 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 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(/ 4 x) |
(/ 4 x) |
(/ 4 x) |
(/ 4 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))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin 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))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 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 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 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) |
(* 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 (/ (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)))) |
(/ (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) |
(* 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 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(* 2 (/ (sin x) (- 1 (cos x)))) |
(/ 4 x) |
(/ 4 x) |
(/ 4 x) |
(/ 4 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))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin 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))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 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 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 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) |
| 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 #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) |
(* 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 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 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 #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 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #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 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 #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) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ (+ 4 (* -1/3 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(* 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 #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) |
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 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 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 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 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) |
(* 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 #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) |
(/ 4/3 x) |
(/.f64 #s(literal 4/3 binary64) x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/270 binary64) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/11340 binary64) (*.f64 x x) #s(literal 7/270 binary64)) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 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 (*.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)) x) x) |
(* 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 #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) |
(/ 3/2 (pow x 2)) |
(/.f64 #s(literal 3/2 binary64) (*.f64 x x)) |
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x) x) |
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/160 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x) x) |
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4032 binary64) (*.f64 x x) #s(literal 1/160 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x) |
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(*.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 (cos x)) 1/2) (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 (cos x)) 1/2) (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 (cos x)) 1/2) (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))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/ -3/8 (- (* 1/2 (cos x)) 1/2)) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
| 4 550× | lower-*.f32 |
| 4 542× | lower-*.f64 |
| 4 066× | lower-/.f32 |
| 4 048× | lower-/.f64 |
| 2 620× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 142 |
| 0 | 63 | 130 |
| 1 | 193 | 129 |
| 2 | 962 | 120 |
| 3 | 7765 | 120 |
| 0 | 8544 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)) |
(/.f64 #s(literal 4 binary64) x) |
(*.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))) |
#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)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (+.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))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.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) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (/.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 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 3/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 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 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #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) (/.f64 #s(literal -3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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))) (sin.f64 x)) (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 1/2 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 #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 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) #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 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -8/3 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (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))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -8/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -4/3 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 4/3 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 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #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 #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 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/4 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 -8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 x))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #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 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64)) |
(*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -4/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
Compiled 27 797 to 3 136 computations (88.7% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 726 | 11 | 1 737 |
| Fresh | 7 | 2 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 737 | 16 | 1 753 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.3% | (/.f64 (fma.f64 #s(literal -4/3 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)) |
| ▶ | 52.5% | (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
| 99.3% | (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 52.4% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) | |
| ✓ | 52.1% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
| 99.5% | (/.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))) | |
| ▶ | 52.5% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
| ✓ | 51.3% | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 51.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) | |
| 52.2% | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) | |
| 99.5% | (*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) | |
| 51.6% | (*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))) | |
| ✓ | 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
Compiled 247 to 230 computations (6.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 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 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -3/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) | |
| 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 3/4 binary64)) |
| 292× | lower-fma.f32 |
| 288× | lower-fma.f64 |
| 280× | lower-*.f32 |
| 276× | lower-*.f64 |
| 148× | lower-+.f64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 142 |
| 0 | 56 | 140 |
| 1 | 75 | 138 |
| 2 | 96 | 138 |
| 3 | 134 | 138 |
| 4 | 162 | 138 |
| 5 | 206 | 138 |
| 6 | 263 | 136 |
| 7 | 304 | 134 |
| 8 | 358 | 134 |
| 9 | 410 | 134 |
| 10 | 520 | 134 |
| 11 | 689 | 134 |
| 12 | 767 | 134 |
| 13 | 813 | 134 |
| 14 | 818 | 134 |
| 15 | 824 | 134 |
| 16 | 824 | 134 |
| 0 | 824 | 134 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 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 3/4 binary64) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (tan (/ x 2)) 2) (*.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(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
#s(literal -1 binary64) |
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
#s(literal 1/8 binary64) |
x |
(/.f64 #s(literal -3/2 binary64) x) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 3/4 binary64) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
#s(literal -4/3 binary64) |
(cos.f64 x) |
x |
#s(literal 4/3 binary64) |
(sin.f64 x) |
| 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)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 3/4 binary64) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (tan (/ x 2)) 2) (*.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(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
#s(literal -1 binary64) |
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
#s(literal 1/8 binary64) |
x |
(/.f64 #s(literal -3/2 binary64) x) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 3/4 binary64) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) |
#s(literal -4/3 binary64) |
(cos.f64 x) |
x |
#s(literal 4/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 15.345784440704575 | (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| accuracy | 15.549909264885349 | (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.140625 | (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.22265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -3/2 binary64) x) | |
| accuracy | 0.22265625 | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) | |
| accuracy | 30.487663695057257 | #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) | |
| accuracy | 0 | (*.f64 #s(literal 1/4 binary64) x) | |
| accuracy | 0.1328125 | (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) | |
| accuracy | 30.425167958532047 | #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.1328125 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
| 63.0ms | 77× | 2 | valid |
| 49.0ms | 126× | 0 | valid |
| 42.0ms | 21× | 3 | valid |
| 18.0ms | 32× | 1 | valid |
Compiled 125 to 40 computations (68% saved)
ival-cos: 33.0ms (22.8% of total)adjust: 25.0ms (17.3% of total)const: 23.0ms (15.9% of total)ival-div: 20.0ms (13.8% of total)ival-mult: 14.0ms (9.7% of total)ival-sin: 11.0ms (7.6% of total)ival-tan: 10.0ms (6.9% of total)ival-add: 7.0ms (4.8% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 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 (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) (patch #s(approx (/ (tan (/ x 2)) 2) (*.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(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) (patch #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (patch (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -3/2 binary64) x) (patch (/.f64 #s(literal -3/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 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 3/4 binary64)) (patch (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 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>) () ())) ()) |
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#s(alt (* 1/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/4 binary64) x) (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/4 binary64) x) (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/4 binary64) x) (patch (*.f64 #s(literal 1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) (patch #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) (patch #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) (patch #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) (patch #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (patch (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (patch (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (patch (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (patch (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/2 binary64) x) (patch (/.f64 #s(literal -3/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/2 binary64) x) (patch (/.f64 #s(literal -3/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/2 binary64) x) (patch (/.f64 #s(literal -3/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -3/2 binary64) x) (patch (/.f64 #s(literal -3/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<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 (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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (* 1/4 x) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* 1/8 x) (/ -3/2 x)) (/ -3/2 x) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x)) |
| 3.0ms | x | @ | inf | ((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (* 1/4 x) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* 1/8 x) (/ -3/2 x)) (/ -3/2 x) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x)) |
| 2.0ms | x | @ | 0 | ((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (tan (/ x 2)) 2) 3/8) (/ (tan (/ x 2)) 2) (* 1/4 x) (/ -1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x)))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (+ (* 1/8 x) (/ -3/2 x)) (/ -3/2 x) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x)) |
| 1× | egg-herbie |
| 23 844× | lower-fma.f64 |
| 23 844× | lower-fma.f32 |
| 4 630× | lower-+.f64 |
| 4 630× | lower-+.f32 |
| 4 626× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1628 |
| 1 | 497 | 1628 |
| 2 | 1236 | 1590 |
| 3 | 3652 | 1566 |
| 4 | 4867 | 1566 |
| 5 | 7101 | 1564 |
| 0 | 8513 | 1451 |
| 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)))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* 1/4 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)))))))) |
(/ -3/2 x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x) |
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x) |
(/ -3/2 x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 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)))))))) |
(/ 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) |
(* 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)))))))) |
(* 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)))) |
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))) |
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)))) |
(* 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)))) |
(/ (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) |
(* 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 (/ (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)))) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 1/8 x) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 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)))) |
(* 3/4 (/ (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)))) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(sin x) |
(sin x) |
(sin x) |
(sin 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)))) |
(/ (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) |
(* 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 (/ (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)))) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(* 1/8 x) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 x) |
(/ -3/2 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)))) |
(* 3/4 (/ (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)))) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(cos x) |
(cos x) |
(cos x) |
(cos 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 #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) |
(* 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 #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 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #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 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 #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) |
(* 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 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 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 #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) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x) |
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ (- (* 1/8 (pow x 2)) 3/2) x) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 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 #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) |
(/ 3/2 x) |
(/.f64 #s(literal 3/2 binary64) x) |
(/ (+ 3/2 (* -1/8 (pow x 2))) x) |
(fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x)) |
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x) |
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 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 #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) |
(* 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) 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 #s(literal -1/30240 binary64) (*.f64 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 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 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(/ (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) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 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)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(/ (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) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 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)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(* -1 (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(/ -3/2 x) |
(/.f64 #s(literal -3/2 binary64) x) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 4/3 (/ (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 4/3 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(+ 4/3 (* -4/3 (cos x))) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 5 526× | lower-fma.f32 |
| 5 522× | lower-fma.f64 |
| 4 784× | lower-*.f32 |
| 4 780× | lower-*.f64 |
| 3 926× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 118 |
| 0 | 56 | 116 |
| 1 | 189 | 114 |
| 2 | 970 | 114 |
| 0 | 8299 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
#s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) |
(/.f64 #s(literal -3/2 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 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(cos.f64 x) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -4/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -4/3 binary64) (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64))) (neg.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 16/9 binary64) (cos.f64 x)) #s(literal -16/9 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) #s(literal 16/9 binary64) (*.f64 #s(literal 16/9 binary64) (cos.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 16/9 binary64) #s(literal -16/9 binary64)) (neg.f64 (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 16/9 binary64) #s(literal -16/9 binary64)) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) #s(literal 16/9 binary64) (*.f64 #s(literal 16/9 binary64) (cos.f64 x)))))) |
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64)) (+.f64 #s(literal 16/9 binary64) (*.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 16/9 binary64) (cos.f64 x)) #s(literal -16/9 binary64))))) |
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64)) (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) #s(literal 16/9 binary64) (*.f64 #s(literal 16/9 binary64) (cos.f64 x)))) |
(/.f64 (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (-.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 16/9 binary64) (cos.f64 x)) #s(literal -16/9 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 64/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))))) |
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) |
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) |
(-.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) |
(+.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))) (neg.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) |
(+.f64 #s(literal 4/3 binary64) (neg.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(cos.f64 x) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64)))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
Compiled 11 155 to 1 609 computations (85.6% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 7 | 785 |
| Fresh | 5 | 3 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 783 | 18 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.3% | (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
| 99.4% | (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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)) |
| ✓ | 52.5% | (/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
| 99.3% | (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 52.4% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) | |
| ✓ | 52.1% | (/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
| 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))) | |
| ✓ | 52.5% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
| 28.6% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (/.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))))) | |
| 52.5% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))))) | |
| 2.7% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 binary64) x)))) | |
| 51.3% | (*.f64 (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) | |
| ✓ | 51.3% | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| 52.2% | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) | |
| 99.5% | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) | |
| ✓ | 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
Compiled 762 to 340 computations (55.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (/.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))))) |
#s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #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)) |
(/.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 #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 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 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 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.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 (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 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 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 (/.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 1/2 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 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)) |
(/.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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(/.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) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
#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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 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 (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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 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))) |
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 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 3/8 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 (/.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)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
2 calls:
| 46.0ms | (/.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)) |
| 33.0ms | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (/.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))))) |
#s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| Outputs |
|---|
#s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
2 calls:
| 4.0ms | 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 |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (/.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
2 calls:
| 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)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | x |
| 52.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))) |
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64)) |
2 calls:
| 23.0ms | (/.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 |
|---|---|---|
| 52.5% | 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)) |
| 52.5% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total -32.3b remaining (-105.7%)
Threshold costs -32.3b (-105.7%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) #s(approx (+ (* 1/8 x) (/ -3/2 x)) (*.f64 #s(literal 1/8 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 |
|---|---|---|
| 52.2% | 1 | x |
| 52.2% | 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 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 75 |
| 1 | 58 | 75 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) |
#s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.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 (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
#s(approx (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (neg (sin x))) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x)))) |
(/.f64 #s(approx (/ (tan (/ x 2)) 2) (*.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)) |
| 18 506× | lower-fma.f64 |
| 18 506× | lower-fma.f32 |
| 14 772× | lower-fma.f64 |
| 14 772× | lower-fma.f32 |
| 14 722× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1793 | 408 |
| 4 | 3345 | 408 |
| 5 | 4708 | 408 |
| 6 | 5020 | 408 |
| 7 | 5315 | 408 |
| 8 | 5937 | 408 |
| 9 | 7802 | 408 |
| 0 | 8069 | 384 |
| 0 | 41 | 142 |
| 0 | 63 | 130 |
| 1 | 193 | 129 |
| 2 | 962 | 120 |
| 3 | 7765 | 120 |
| 0 | 8544 | 120 |
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 34 | 28 |
| 2 | 115 | 28 |
| 3 | 628 | 24 |
| 0 | 4915 | 24 |
| 0 | 278 | 1910 |
| 1 | 754 | 1910 |
| 2 | 1877 | 1904 |
| 3 | 3510 | 1898 |
| 4 | 5969 | 1898 |
| 5 | 6962 | 1898 |
| 0 | 8119 | 1764 |
| 0 | 36 | 132 |
| 0 | 56 | 131 |
| 1 | 161 | 122 |
| 2 | 809 | 119 |
| 3 | 7005 | 113 |
| 0 | 8109 | 113 |
| 0 | 263 | 1754 |
| 1 | 695 | 1754 |
| 2 | 1686 | 1748 |
| 3 | 3091 | 1748 |
| 4 | 5239 | 1748 |
| 5 | 5552 | 1748 |
| 6 | 6013 | 1748 |
| 7 | 7024 | 1748 |
| 0 | 8062 | 1630 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 162 to 128 computations (21% saved)
(negabs x)
Compiled 176 to 140 computations (20.5% saved)
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