
Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 5 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 6 |
| 42.2% | 42.1% | 57.7% | 0.1% | 0% | 0% | 0% | 7 |
| 49.2% | 49.1% | 50.7% | 0.1% | 0% | 0% | 0% | 8 |
| 57.4% | 57.3% | 42.5% | 0.1% | 0% | 0% | 0% | 9 |
| 67% | 66.9% | 33% | 0.1% | 0% | 0% | 0% | 10 |
| 71.8% | 71.7% | 28.2% | 0.1% | 0% | 0% | 0% | 11 |
| 76.9% | 76.8% | 23.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 365.0ms (44.1% of total)ival-mult: 218.0ms (26.3% of total)ival-pow2: 161.0ms (19.4% of total)ival-div: 71.0ms (8.6% of total)ival-true: 5.0ms (0.6% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 0 | - | 0 | - | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 34 | 0 | - | 2 | (-1.6945836721962995e+141 7.927916775801965e+91 7.910484574703442e-162) | (*.f64 x (pow.f64 s #s(literal 2 binary64))) |
| 13 | 0 | - | 2 | (4.9907143715603466e+35 4.191144606725911e+108 2.9166092955661616e-179) | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| 2 | 0 | - | 0 | - | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 0 | 0 | - | 0 | - | (pow.f64 c #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 123 | (7.43817808392161e+294 4.338081599611436e+196 -7.170551920351998e-258) | 0 | - | (cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (pow.f64 s #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | sensitivity | 123 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 24 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 69 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 84 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 72 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 83 | |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*o | 21 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*o | 17 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 17 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 71 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 61 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 54 | |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*u | 11 | 0 |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*u | 6 | 0 |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*o | 5 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*u | 5 | 0 |
/.f64 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | n/o | 2 | 0 |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 84 | |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | overflow | 79 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 72 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 83 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 93 | 0 |
| - | 86 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 93 | 0 | 0 |
| - | 86 | 0 | 77 |
| number | freq |
|---|---|
| 0 | 77 |
| 1 | 129 |
| 2 | 48 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 92.0ms | 512× | 0 | valid |
Compiled 135 to 40 computations (70.4% saved)
ival-pow2: 13.0ms (32.6% of total)ival-mult: 12.0ms (30.1% of total)ival-cos: 11.0ms (27.6% of total)ival-div: 3.0ms (7.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 052× | distribute-neg-frac |
| 1 004× | div-sub |
| 784× | distribute-lft-neg-in |
| 688× | unsub-neg |
| 676× | distribute-frac-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 168 |
| 1 | 133 | 161 |
| 2 | 473 | 147 |
| 3 | 2282 | 147 |
| 4 | 5965 | 147 |
| 0 | 12 | 16 |
| 0 | 20 | 16 |
| 1 | 31 | 16 |
| 2 | 64 | 16 |
| 3 | 198 | 16 |
| 4 | 487 | 16 |
| 5 | 704 | 16 |
| 6 | 737 | 16 |
| 0 | 737 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c))) |
(abs s)
(abs c)
(abs x)
(sort c s)
Compiled 19 to 12 computations (36.8% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.8% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| cost-diff | 6144 | (pow.f64 s #s(literal 2 binary64)) | |
| cost-diff | 6144 | (pow.f64 c #s(literal 2 binary64)) |
| 632× | associate-/r* |
| 378× | lower-/.f32 |
| 376× | lower-/.f64 |
| 330× | lower-*.f32 |
| 322× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 0 | 20 | 56 |
| 1 | 31 | 56 |
| 2 | 64 | 56 |
| 3 | 198 | 56 |
| 4 | 487 | 56 |
| 5 | 704 | 56 |
| 6 | 737 | 56 |
| 0 | 737 | 56 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
s |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c)) |
(pow.f64 c #s(literal 2 binary64)) |
(*.f64 c c) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(*.f64 (*.f64 s s) x) |
(pow.f64 s #s(literal 2 binary64)) |
(*.f64 s s) |
s |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.46435281570582454 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| accuracy | 3.213739719285309 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | |
| accuracy | 8.30140151170224 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | |
| accuracy | 14.829832659344445 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 296.0ms | 256× | 0 | valid |
Compiled 58 to 14 computations (75.9% saved)
ival-pow2: 271.0ms (95.3% of total)ival-cos: 6.0ms (2.1% of total)ival-mult: 6.0ms (2.1% of total)ival-div: 1.0ms (0.4% 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 (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | s | @ | -inf | ((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x)) |
| 4.0ms | s | @ | inf | ((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x)) |
| 3.0ms | x | @ | -inf | ((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x)) |
| 3.0ms | x | @ | 0 | ((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x)) |
| 2.0ms | s | @ | 0 | ((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x)) |
| 1× | egg-herbie |
| 19 320× | lower-fma.f64 |
| 19 320× | lower-fma.f32 |
| 5 250× | lower-*.f64 |
| 5 250× | lower-*.f32 |
| 2 472× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1476 |
| 1 | 117 | 1476 |
| 2 | 383 | 1462 |
| 3 | 1958 | 1452 |
| 4 | 4779 | 1444 |
| 5 | 6925 | 1444 |
| 0 | 8022 | 1432 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) x) |
(*.f64 x (*.f64 s s)) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(* (pow s 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x s) x) s) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
| 4 664× | lower-/.f32 |
| 4 662× | lower-/.f64 |
| 4 522× | lower-*.f32 |
| 4 514× | lower-*.f64 |
| 1 754× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 20 | 49 |
| 1 | 55 | 49 |
| 2 | 217 | 45 |
| 3 | 1946 | 39 |
| 0 | 8396 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 c #s(literal 2 binary64)) |
(pow.f64 s #s(literal 2 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (sqrt.f64 c) c) #s(literal 1 binary64)) (sqrt.f64 c)) |
(*.f64 (*.f64 (sqrt.f64 c) c) (sqrt.f64 c)) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 (sqrt.f64 c) c) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c)) |
(*.f64 c c) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 c)) |
(pow.f64 (*.f64 (*.f64 c c) (*.f64 c c)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 c)) |
(pow.f64 (sqrt.f64 c) #s(literal 4 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 c))) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 s) s) #s(literal 1 binary64)) (sqrt.f64 s)) |
(*.f64 (*.f64 (sqrt.f64 s) s) (sqrt.f64 s)) |
(*.f64 (sqrt.f64 s) (pow.f64 (*.f64 (sqrt.f64 s) s) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) s)) |
(*.f64 s s) |
(pow.f64 (*.f64 (*.f64 s s) (*.f64 s s)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 s)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 s)) |
(pow.f64 (sqrt.f64 s) #s(literal 4 binary64)) |
(pow.f64 (*.f64 s s) #s(literal 1 binary64)) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 s))) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s s)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 s s)) x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (/.f64 (cos.f64 (+.f64 x x)) c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 c) c) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 c c) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 c (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 c c)) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 s s)) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 c c) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 c c) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 c c))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 s s)) (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 c c)) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) (-.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 s s) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 s s)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 s s) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) (pow.f64 (/.f64 (neg.f64 x) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 s s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 s s) (/.f64 (*.f64 c c) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 c c) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) s)) (pow.f64 (*.f64 x (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c c))) (pow.f64 (*.f64 (*.f64 s s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c c))) (pow.f64 (*.f64 (*.f64 x (*.f64 s s)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c c))) (pow.f64 (/.f64 (*.f64 x (*.f64 s s)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) (+.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (cos.f64 (+.f64 x x))) (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (cos.f64 (+.f64 x x))) (*.f64 c c)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 s s)) x)) (pow.f64 (/.f64 (*.f64 (neg.f64 c) c) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 s s)) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 c) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 c (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s s))) (pow.f64 (/.f64 (*.f64 x (*.f64 c c)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s s))) (pow.f64 (*.f64 (*.f64 c c) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s s))) (pow.f64 (*.f64 (*.f64 x (*.f64 c c)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s s))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) (pow.f64 (*.f64 c (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) (/.f64 (cos.f64 (+.f64 x x)) c)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s s))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c)) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 x (*.f64 s s)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 x (*.f64 c c))) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x (*.f64 s s)))) |
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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
(cos.f64 (+.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 x (*.f64 c c)) (*.f64 x s)) s) |
(*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 c c))) (*.f64 s s)) |
(*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 x (*.f64 s s)) c))) x) |
(*.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (*.f64 (*.f64 x (*.f64 s s)) x)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s)))) (*.f64 c c)) |
(*.f64 (*.f64 x s) (*.f64 s (*.f64 x (*.f64 c c)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 c c) s) s)) |
(*.f64 (*.f64 x (*.f64 c c)) (/.f64 (*.f64 x (*.f64 s s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 c c)) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) s) s) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 x (*.f64 s s)) c)) (neg.f64 x)) |
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))) (*.f64 (neg.f64 c) c)) |
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (/.f64 (*.f64 c c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (neg.f64 (*.f64 (neg.f64 c) c))) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (*.f64 c c)) |
(*.f64 (*.f64 x (*.f64 s s)) (/.f64 (*.f64 x (*.f64 c c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) |
(*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c))) |
(*.f64 (*.f64 s s) (*.f64 x (*.f64 x (*.f64 c c)))) |
(*.f64 s (*.f64 (*.f64 x s) (*.f64 x (*.f64 c c)))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 s s))))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 x (*.f64 s s)) x)) |
(*.f64 c (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #s(literal 1 binary64))) |
(*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) |
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)))) |
(/.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x s) (sqrt.f64 s)) (sqrt.f64 s)) |
(*.f64 (*.f64 x s) s) |
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) (*.f64 x s))) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 x s)) |
(*.f64 (*.f64 (*.f64 x x) s) s) |
(*.f64 (*.f64 x (*.f64 x s)) s) |
(*.f64 (*.f64 x s) (*.f64 x s)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 s s)) x) |
(*.f64 x (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 s (*.f64 (*.f64 x s) x)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(pow.f64 (*.f64 x s) #s(literal 2 binary64)) |
Compiled 27 919 to 2 416 computations (91.3% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 815 | 18 | 833 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 816 | 18 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c c))) (*.f64 x s)) s) | |
| 74.2% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) x) | |
| 65.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) | |
| 97.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 73.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x s)) s))) | |
| ▶ | 72.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) |
| ▶ | 72.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
| 67.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) s) (*.f64 x x))) | |
| 76.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) (*.f64 x s)) s)) | |
| 77.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s))) | |
| ▶ | 73.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
| ▶ | 97.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| 65.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) (cos.f64 (+.f64 x x))) | |
| 72.7% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) | |
| 68.6% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 c (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) | |
| 42.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) | |
| 49.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| ▶ | 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
Compiled 766 to 444 computations (42% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) | |
| cost-diff | 1600 | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) s) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| cost-diff | 0 | #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| 4 276× | associate-/r* |
| 1 982× | lower-/.f32 |
| 1 976× | lower-/.f64 |
| 970× | associate-*l* |
| 906× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 349 |
| 0 | 53 | 341 |
| 1 | 106 | 341 |
| 2 | 271 | 341 |
| 3 | 862 | 341 |
| 4 | 1510 | 341 |
| 5 | 1543 | 341 |
| 6 | 1543 | 341 |
| 7 | 1577 | 341 |
| 8 | 1577 | 341 |
| 9 | 2746 | 341 |
| 10 | 2746 | 341 |
| 11 | 2746 | 341 |
| 12 | 3522 | 341 |
| 13 | 3522 | 341 |
| 0 | 3522 | 341 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 x c) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 x c) |
x |
c |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) |
(*.f64 x c) |
c |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 s s) |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 s s) |
s |
c |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 s s) |
s |
c |
(sqrt.f64 c) |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 c x) s) |
(*.f64 x c) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 c x) s) |
(*.f64 x c) |
(*.f64 c x) |
x |
c |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) |
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)) |
(*.f64 x c) |
(*.f64 c x) |
c |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 (*.f64 (*.f64 s s) x) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s s) |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) |
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 (*.f64 (*.f64 s s) x) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s s) |
s |
c |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s)) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) s) (*.f64 s c)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 (*.f64 (*.f64 s s) x) c) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s s) |
s |
c |
(sqrt.f64 c) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.1696481370170324 | (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) | |
| accuracy | 3.896092703096101 | (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) | |
| accuracy | 7.80112035410927 | (*.f64 (*.f64 x (*.f64 s s)) c) | |
| accuracy | 8.30140151170224 | (*.f64 x (*.f64 s s)) | |
| accuracy | 3.8383952512639072 | (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) | |
| accuracy | 3.896092703096101 | (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) | |
| accuracy | 7.80112035410927 | (*.f64 (*.f64 x (*.f64 s s)) c) | |
| accuracy | 8.30140151170224 | (*.f64 x (*.f64 s s)) | |
| accuracy | 0.46435281570582454 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) | |
| accuracy | 4.481527531009714 | (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) | |
| accuracy | 7.80112035410927 | (*.f64 (*.f64 x (*.f64 s s)) c) | |
| accuracy | 8.30140151170224 | (*.f64 x (*.f64 s s)) | |
| accuracy | 0.18425751953688405 | (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) | |
| accuracy | 0.4389286174879047 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| accuracy | 4.8829441807211 | (*.f64 (*.f64 x c) s) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| accuracy | 0 | #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| accuracy | 0.18425751953688405 | (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) | |
| accuracy | 0.46435281570582454 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| accuracy | 4.8829441807211 | (*.f64 (*.f64 x c) s) |
| 71.0ms | 256× | 0 | valid |
Compiled 313 to 31 computations (90.1% saved)
ival-mult: 29.0ms (60.7% of total)ival-div: 7.0ms (14.7% of total)ival-cos: 6.0ms (12.6% of total)ival-pow2: 4.0ms (8.4% of total)ival-sqrt: 2.0ms (4.2% 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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) (patch (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x c) s) (patch (*.f64 (*.f64 x c) s) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) (patch (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 s s)) c) (patch (*.f64 (*.f64 x (*.f64 s s)) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (patch (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) (patch (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) c) (patch (*.f64 (*.f64 x (*.f64 s s)) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) c) (patch (*.f64 (*.f64 x (*.f64 s s)) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) c) (patch (*.f64 (*.f64 x (*.f64 s s)) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) c) (patch (*.f64 (*.f64 x (*.f64 s s)) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (patch (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (patch (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (patch (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #<representation binary64>) () ())) ()) |
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (patch (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* x c) s))) (* (* (* x c) s) (* (* x c) s)) (* (* x c) s) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))) (* (* x c) (* (* x (* s s)) c)) (/ (cos (* 2 x)) (* (* (* (* x (* s s)) c) x) c)) (* (* (* (* x (* s s)) c) x) c) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c))) (* x (* s s)) (* (* x (* s s)) c) (* (* (* x (* s s)) c) x) (* (* (* (* x (* s s)) c) x) (sqrt c))) |
| 7.0ms | s | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* x c) s))) (* (* (* x c) s) (* (* x c) s)) (* (* x c) s) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))) (* (* x c) (* (* x (* s s)) c)) (/ (cos (* 2 x)) (* (* (* (* x (* s s)) c) x) c)) (* (* (* (* x (* s s)) c) x) c) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c))) (* x (* s s)) (* (* x (* s s)) c) (* (* (* x (* s s)) c) x) (* (* (* (* x (* s s)) c) x) (sqrt c))) |
| 6.0ms | c | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* x c) s))) (* (* (* x c) s) (* (* x c) s)) (* (* x c) s) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))) (* (* x c) (* (* x (* s s)) c)) (/ (cos (* 2 x)) (* (* (* (* x (* s s)) c) x) c)) (* (* (* (* x (* s s)) c) x) c) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c))) (* x (* s s)) (* (* x (* s s)) c) (* (* (* x (* s s)) c) x) (* (* (* (* x (* s s)) c) x) (sqrt c))) |
| 6.0ms | x | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* x c) s))) (* (* (* x c) s) (* (* x c) s)) (* (* x c) s) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))) (* (* x c) (* (* x (* s s)) c)) (/ (cos (* 2 x)) (* (* (* (* x (* s s)) c) x) c)) (* (* (* (* x (* s s)) c) x) c) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c))) (* x (* s s)) (* (* x (* s s)) c) (* (* (* x (* s s)) c) x) (* (* (* (* x (* s s)) c) x) (sqrt c))) |
| 4.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* x c) s))) (* (* (* x c) s) (* (* x c) s)) (* (* x c) s) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))) (* (* x c) (* (* x (* s s)) c)) (/ (cos (* 2 x)) (* (* (* (* x (* s s)) c) x) c)) (* (* (* (* x (* s s)) c) x) c) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* x (* s s)) c) x) (sqrt c)) (sqrt c))) (* x (* s s)) (* (* x (* s s)) c) (* (* (* x (* s s)) c) x) (* (* (* (* x (* s s)) c) x) (sqrt c))) |
| 1× | egg-herbie |
| 7 066× | lower-fma.f64 |
| 7 066× | lower-fma.f32 |
| 6 266× | lower-*.f64 |
| 6 266× | lower-*.f32 |
| 2 732× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 7104 |
| 1 | 171 | 7104 |
| 2 | 606 | 7034 |
| 3 | 3195 | 6984 |
| 4 | 6253 | 6984 |
| 0 | 8413 | 6948 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) x)) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x))) (*.f64 x x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x))) (*.f64 x x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x))) (*.f64 x x)) |
(* (pow s 2) x) |
(*.f64 (*.f64 x s) s) |
(* (pow s 2) x) |
(*.f64 (*.f64 x s) s) |
(* (pow s 2) x) |
(*.f64 (*.f64 x s) s) |
(* (pow s 2) x) |
(*.f64 (*.f64 x s) s) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
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(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c)) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) x)) |
(*.f64 (*.f64 (*.f64 x s) s) c) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 x s) x)) s) |
| 4 586× | lower-*.f32 |
| 4 562× | lower-*.f64 |
| 3 772× | lower-/.f32 |
| 3 766× | lower-/.f64 |
| 1 910× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 239 |
| 0 | 53 | 199 |
| 1 | 164 | 171 |
| 2 | 729 | 167 |
| 3 | 6282 | 167 |
| 0 | 8178 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 x c) s) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
(*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) (+.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))))) |
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) (neg.f64 (cos.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) (cos.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 s s) x)) (/.f64 (cos.f64 x) (*.f64 (*.f64 c x) c)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 c x)) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 c x)) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 s s) x) c)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 x x) s) s)) (/.f64 (cos.f64 x) (*.f64 c c)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 x x) s) s)) (/.f64 (cos.f64 x) (*.f64 c c)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (cos.f64 x) c) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (cos.f64 x) c) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 s s) x) c)) (/.f64 (cos.f64 x) (*.f64 c x)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 s s) x) c)) (/.f64 (cos.f64 x) (*.f64 c x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 c) x) c) (*.f64 (*.f64 s s) x))) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 c) x) c) (*.f64 (*.f64 s s) x))) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) x) c) (*.f64 (*.f64 s s) x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 c) x) c) (*.f64 (*.f64 s s) x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 c) x) c) (*.f64 (*.f64 s s) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 s)) (sqrt.f64 s)) |
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) (*.f64 s x))) |
(*.f64 (*.f64 s x) s) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 s x)) |
(*.f64 x (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) (sqrt.f64 s)) (sqrt.f64 s)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) s) (*.f64 s x)) (sqrt.f64 c)) |
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) (*.f64 (*.f64 c x) s))) |
(*.f64 (*.f64 s c) (*.f64 s x)) |
(*.f64 (*.f64 (*.f64 s s) c) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) c) x) |
(*.f64 (*.f64 s x) (/.f64 (*.f64 s c) #s(literal 1 binary64))) |
(*.f64 (*.f64 s x) (*.f64 s c)) |
(*.f64 (sqrt.f64 c) (*.f64 (*.f64 (sqrt.f64 c) s) (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 s s) x) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) x) c) |
(*.f64 (*.f64 s s) (/.f64 (*.f64 c x) #s(literal 1 binary64))) |
(*.f64 (*.f64 s s) (*.f64 c x)) |
(*.f64 (*.f64 (*.f64 c x) s) s) |
(*.f64 (*.f64 c x) (*.f64 s s)) |
(*.f64 s (*.f64 (*.f64 c x) s)) |
(*.f64 c (/.f64 (*.f64 (*.f64 s s) x) #s(literal 1 binary64))) |
(*.f64 c (*.f64 (*.f64 s s) x)) |
(*.f64 x (/.f64 (*.f64 (*.f64 s s) c) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (*.f64 s s) c)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 s s) x) c) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (sqrt.f64 s)) (sqrt.f64 s)) |
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 c)) (*.f64 (*.f64 s x) (sqrt.f64 c))) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s x)) (*.f64 (sqrt.f64 c) (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 s s) x)) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 s c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) |
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)) |
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 x x) s) s))) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x)) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) |
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) c) |
(*.f64 s (*.f64 (*.f64 (*.f64 x x) c) s)) |
(*.f64 c (*.f64 (*.f64 (*.f64 x x) s) s)) |
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 s x)) (*.f64 s c)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 c x) s)) s) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 c x)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 x x) c) s)) s) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 (*.f64 x x) c)) (*.f64 s s)) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 x x)) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s s)) (*.f64 (*.f64 x x) c)) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 x x) s) s)) c) |
(*.f64 (*.f64 (sqrt.f64 c) c) (*.f64 (*.f64 (*.f64 x x) s) s)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x) (pow.f64 c #s(literal 1/4 binary64))) (pow.f64 c #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s x)) (*.f64 (*.f64 c x) s)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) c) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 s s) x)) c) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s (sqrt.f64 c))) |
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) (sqrt.f64 c))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) c) (*.f64 (*.f64 s s) x)) x) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) s) (*.f64 s x)) (*.f64 c x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s s) c) (sqrt.f64 c))) |
(*.f64 (pow.f64 c #s(literal 1/4 binary64)) (*.f64 (pow.f64 c #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x))) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x (*.f64 (sqrt.f64 c) x))) |
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 (*.f64 s s) x) c)) |
(*.f64 (*.f64 s x) (*.f64 (*.f64 s c) (*.f64 (sqrt.f64 c) x))) |
(*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 (sqrt.f64 c) x) c))) |
(*.f64 (*.f64 s x) (*.f64 (*.f64 (*.f64 c x) s) (sqrt.f64 c))) |
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 s s) x)))) |
(*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x) (sqrt.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 (sqrt.f64 c) x)) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 (sqrt.f64 c) x) c)) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 (sqrt.f64 c) x))) |
(*.f64 (*.f64 s s) (*.f64 x (*.f64 (*.f64 (sqrt.f64 c) x) c))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 (*.f64 x x) c) (sqrt.f64 c))) |
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 s (*.f64 (sqrt.f64 c) x))) |
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) (*.f64 (sqrt.f64 c) x))) |
(*.f64 (*.f64 c x) (*.f64 (*.f64 (sqrt.f64 c) s) (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c (sqrt.f64 c))) |
(*.f64 s (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (sqrt.f64 c) x))) |
(*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 (sqrt.f64 c) x) c))) |
(*.f64 c (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (*.f64 s s) x))) |
(*.f64 x (*.f64 (*.f64 (sqrt.f64 c) c) (*.f64 (*.f64 s s) x))) |
Compiled 79 708 to 2 926 computations (96.3% saved)
48 alts after pruning (47 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 724 | 45 | 3 769 |
| Fresh | 11 | 2 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 739 | 48 | 3 787 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x) | |
| 85.0% | (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x))) s) | |
| ▶ | 98.2% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
| 95.4% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (sqrt.f64 c)) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) | |
| 72.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| 84.3% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) | |
| 97.6% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 72.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c)) | |
| 81.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c))) | |
| 84.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))) | |
| 95.8% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) | |
| 54.5% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 44.2% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| 60.1% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 84.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) | |
| ▶ | 42.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
| ▶ | 68.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
| 77.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) | |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) | |
| 60.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x)) | |
| 78.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) (sqrt.f64 c))) | |
| 66.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) | |
| 60.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) | |
| 78.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) | |
| 61.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) | |
| 73.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) | |
| 49.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| 75.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s))) (*.f64 s c))) | |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) | |
| 71.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) | |
| ▶ | 66.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
| 70.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) | |
| 71.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) (sqrt.f64 c)))) | |
| 61.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) | |
| 66.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) | |
| 57.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) | |
| 60.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) | |
| 69.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) | |
| 62.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) | |
| 57.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) | |
| ✓ | 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| ▶ | 76.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
| 76.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) | |
| 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) | |
| 70.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
Compiled 1 865 to 1 050 computations (43.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) | |
| cost-diff | 384 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) | |
| cost-diff | 256 | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) s) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (cos.f64 (+.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) | |
| cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
| 8 442× | lower-fma.f32 |
| 8 436× | lower-fma.f64 |
| 4 678× | lower-*.f32 |
| 4 644× | lower-*.f64 |
| 3 216× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 529 |
| 0 | 93 | 523 |
| 1 | 206 | 520 |
| 2 | 588 | 520 |
| 3 | 2408 | 512 |
| 4 | 4897 | 512 |
| 5 | 7691 | 504 |
| 0 | 8393 | 501 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c x) s) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) |
(*.f64 (*.f64 x c) s) |
(*.f64 x c) |
x |
c |
s |
(*.f64 (*.f64 s c) x) |
(*.f64 s c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
x |
c |
s |
(neg.f64 s) |
(neg.f64 c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c x) c) x) |
(*.f64 (*.f64 c x) c) |
(*.f64 c x) |
c |
x |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) s) |
(*.f64 (*.f64 s c) c) |
(*.f64 s c) |
s |
c |
(*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal -4/45 binary64) |
#s(literal 2/3 binary64) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c x) s) |
(*.f64 s (*.f64 c x)) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s) |
(*.f64 (*.f64 x c) s) |
(*.f64 s (*.f64 c x)) |
(*.f64 x c) |
(*.f64 c x) |
x |
c |
s |
(*.f64 (*.f64 s c) x) |
(*.f64 s (*.f64 c x)) |
(*.f64 s c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) s) s) (*.f64 c x)) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
x |
c |
s |
(neg.f64 s) |
(neg.f64 c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) s)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c x) c) x) |
(*.f64 (*.f64 (*.f64 c c) x) x) |
(*.f64 (*.f64 c x) c) |
(*.f64 (*.f64 c c) x) |
(*.f64 c x) |
c |
x |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) s) |
(*.f64 (*.f64 s c) c) |
(*.f64 s c) |
s |
c |
(*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s))) |
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal -4/45 binary64) |
#s(literal 2/3 binary64) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.752491969713478 | (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| accuracy | 14.903424948832356 | (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) | |
| accuracy | 22.678731682043164 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) | |
| accuracy | 26.577810325523572 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) | |
| accuracy | 2.756087567157837 | (*.f64 (*.f64 (*.f64 c x) c) x) | |
| accuracy | 4.546673771496183 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) | |
| accuracy | 4.779069736894939 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) | |
| accuracy | 3.8383952512639072 | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) | |
| accuracy | 5.352180708594156 | (*.f64 (*.f64 x x) c) | |
| accuracy | 6.2434570930650874 | (*.f64 (*.f64 (*.f64 x x) c) s) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) | |
| accuracy | 0.4389286174879047 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) | |
| accuracy | 4.3336290151341545 | (*.f64 (*.f64 s c) x) | |
| accuracy | 4.8829441807211 | (*.f64 (*.f64 x c) s) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) | |
| accuracy | 0 | (cos.f64 (+.f64 x x)) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) | |
| accuracy | 0.7703519077558754 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) | |
| accuracy | 4.8829441807211 | (*.f64 (*.f64 c x) s) |
| 138.0ms | 256× | 0 | valid |
Compiled 454 to 56 computations (87.7% saved)
ival-mult: 52.0ms (47.3% of total)ival-div: 19.0ms (17.3% of total)ival-pow2: 14.0ms (12.7% of total)ival-cos: 11.0ms (10% of total)const: 7.0ms (6.4% of total)ival-add: 5.0ms (4.5% of total)ival-neg: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) (patch (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x c) s) (patch (*.f64 (*.f64 x c) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c x) s) (patch (*.f64 (*.f64 c x) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 s c) x) (patch (*.f64 (*.f64 s c) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) c) s) (patch (*.f64 (*.f64 (*.f64 x x) c) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 c x) c) x) (patch (*.f64 (*.f64 (*.f64 c x) c) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* c (* s x))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow x 2) (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow x 2) (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | s | @ | 0 | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* s c) x))) (* (* (* x c) s) (* (* s c) x)) (* (* x c) s) (* (* (* (* (* x x) c) s) (neg s)) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* x x) c) s) (neg s)) (neg c))) (* (* (* (* x x) c) s) (neg s)) (/ (/ (/ 1 (* (* (* c x) c) x)) s) s) (/ (/ 1 (* (* (* c x) c) x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c x) c) x)) (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (+ (* -2 (* x x)) 1) (* (* c x) s) (* (* s c) x) (* (* (* x x) c) s) (* (* x x) c) (* (* (* c x) c) x) (/ (* x x) (* (* (* s c) c) s))) |
| 12.0ms | c | @ | inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* s c) x))) (* (* (* x c) s) (* (* s c) x)) (* (* x c) s) (* (* (* (* (* x x) c) s) (neg s)) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* x x) c) s) (neg s)) (neg c))) (* (* (* (* x x) c) s) (neg s)) (/ (/ (/ 1 (* (* (* c x) c) x)) s) s) (/ (/ 1 (* (* (* c x) c) x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c x) c) x)) (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (+ (* -2 (* x x)) 1) (* (* c x) s) (* (* s c) x) (* (* (* x x) c) s) (* (* x x) c) (* (* (* c x) c) x) (/ (* x x) (* (* (* s c) c) s))) |
| 10.0ms | s | @ | -inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* s c) x))) (* (* (* x c) s) (* (* s c) x)) (* (* x c) s) (* (* (* (* (* x x) c) s) (neg s)) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* x x) c) s) (neg s)) (neg c))) (* (* (* (* x x) c) s) (neg s)) (/ (/ (/ 1 (* (* (* c x) c) x)) s) s) (/ (/ 1 (* (* (* c x) c) x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c x) c) x)) (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (+ (* -2 (* x x)) 1) (* (* c x) s) (* (* s c) x) (* (* (* x x) c) s) (* (* x x) c) (* (* (* c x) c) x) (/ (* x x) (* (* (* s c) c) s))) |
| 9.0ms | x | @ | inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* s c) x))) (* (* (* x c) s) (* (* s c) x)) (* (* x c) s) (* (* (* (* (* x x) c) s) (neg s)) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* x x) c) s) (neg s)) (neg c))) (* (* (* (* x x) c) s) (neg s)) (/ (/ (/ 1 (* (* (* c x) c) x)) s) s) (/ (/ 1 (* (* (* c x) c) x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c x) c) x)) (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (+ (* -2 (* x x)) 1) (* (* c x) s) (* (* s c) x) (* (* (* x x) c) s) (* (* x x) c) (* (* (* c x) c) x) (/ (* x x) (* (* (* s c) c) s))) |
| 7.0ms | c | @ | 0 | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* x c) s) (* (* s c) x))) (* (* (* x c) s) (* (* s c) x)) (* (* x c) s) (* (* (* (* (* x x) c) s) (neg s)) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* x x) c) s) (neg s)) (neg c))) (* (* (* (* x x) c) s) (neg s)) (/ (/ (/ 1 (* (* (* c x) c) x)) s) s) (/ (/ 1 (* (* (* c x) c) x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c x) c) x)) (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (+ (* -2 (* x x)) 1) (* (* c x) s) (* (* s c) x) (* (* (* x x) c) s) (* (* x x) c) (* (* (* c x) c) x) (/ (* x x) (* (* (* s c) c) s))) |
| 1× | egg-herbie |
| 16 878× | lower-fma.f64 |
| 16 878× | lower-fma.f32 |
| 6 058× | lower-*.f64 |
| 6 058× | lower-*.f32 |
| 2 308× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 11050 |
| 1 | 364 | 11050 |
| 2 | 1098 | 10946 |
| 3 | 4023 | 10772 |
| 4 | 6565 | 10772 |
| 0 | 8283 | 10557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* c (* s x))) |
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow s 2))) |
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(* -4/45 (/ (pow x 6) (* (pow c 2) (pow s 2)))) |
(* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 6) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2)))) |
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(cos (neg (* -2 x))) |
(cos (neg (* -2 x))) |
(cos (neg (* -2 x))) |
(cos (neg (* -2 x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(* -4/45 (/ (pow x 6) (* (pow c 2) (pow s 2)))) |
(* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 6) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2)))) |
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
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(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(* (pow c 2) (pow x 2)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 s c)) x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 s c)) (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow s 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c)) |
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(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ 1 (* (pow c 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 (*.f64 x s) s))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x c) c) x)) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* (pow c 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x c) c) x) |
(* (pow c 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x c) c) x) |
(* (pow c 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x c) c) x) |
(* (pow c 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x c) c) x) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) |
(/ (pow x 2) (* (pow c 2) (pow s 2))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) |
| 5 510× | lower-/.f32 |
| 5 490× | lower-/.f64 |
| 4 114× | lower-*.f32 |
| 4 080× | lower-*.f64 |
| 2 982× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 410 |
| 0 | 93 | 407 |
| 1 | 334 | 353 |
| 2 | 2133 | 316 |
| 0 | 8594 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 c x) s) |
(*.f64 (*.f64 s c) x) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(*.f64 (*.f64 (*.f64 c x) c) x) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 s (*.f64 c x)) (neg.f64 (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 s c)))) |
(*.f64 (pow.f64 (/.f64 c (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 s x) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 s c) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 s (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 s c) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (*.f64 s x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) (pow.f64 (/.f64 x (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (pow.f64 (/.f64 s (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 s c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) x)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (pow.f64 (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (/.f64 #s(literal 1 binary64) s)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)) (pow.f64 (/.f64 s (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) s)) |
(*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 x) (*.f64 s c))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 s c)))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (cos.f64 (+.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x)))) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c)))) |
(pow.f64 (*.f64 (/.f64 (*.f64 s (*.f64 c x)) (cos.f64 (+.f64 x x))) (*.f64 s (*.f64 c x))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (/.f64 (*.f64 x x) s)) (neg.f64 (*.f64 (*.f64 s c) c))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 s c))) (neg.f64 (*.f64 s c))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 s c) c))))) (neg.f64 (neg.f64 s))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s))))) |
(/.f64 (*.f64 x (/.f64 x s)) (*.f64 (*.f64 s c) c)) |
(/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 s c) c)) x) s) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 (/.f64 (*.f64 x x) s) (*.f64 (*.f64 s c) c)) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 s c) c)))) (neg.f64 s)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s)))) |
(/.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 s c) c))) s) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (*.f64 x x))))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s c) c) (*.f64 x (/.f64 x s)))) |
(/.f64 #s(literal 1 binary64) (/.f64 s (*.f64 (/.f64 x (*.f64 (*.f64 s c) c)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s c) c) (/.f64 (*.f64 x x) s))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s c) (/.f64 (*.f64 x x) (*.f64 s c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s))) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) (neg.f64 s)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 s c))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 s c))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (*.f64 x x)))) #s(literal -1 binary64))) |
Compiled 61 847 to 3 456 computations (94.4% saved)
53 alts after pruning (49 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 930 | 24 | 1 954 |
| Fresh | 17 | 25 | 42 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 949 | 53 | 2 002 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x) | |
| 92.7% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) s) | |
| 59.5% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) | |
| 72.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| 84.3% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) | |
| 92.5% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) | |
| ▶ | 97.6% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| 72.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c)) | |
| 81.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c))) | |
| 84.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))) | |
| 95.8% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) | |
| 57.4% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) | |
| 78.2% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) | |
| 54.5% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 44.2% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| 60.1% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s (*.f64 c x)) s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)))) | |
| 92.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (cos.f64 (+.f64 x x))) | |
| ✓ | 42.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
| ▶ | 42.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
| 77.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) | |
| ▶ | 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) | |
| 69.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (/.f64 #s(literal 1 binary64) (*.f64 c x))) s) s)) | |
| 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) | |
| 70.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) | |
| 60.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) | |
| 61.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) | |
| 49.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) | |
| 71.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) | |
| 71.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) | |
| 65.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) | |
| ▶ | 41.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
| ✓ | 66.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
| 70.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) | |
| 61.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) | |
| 70.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) | |
| 71.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) | |
| 65.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) | |
| 69.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) | |
| 57.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) | |
| ✓ | 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| ✓ | 76.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
| 76.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) | |
| 76.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) | |
| ▶ | 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
| 65.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) | |
| 73.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) | |
| 17.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
Compiled 2 039 to 1 135 computations (44.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) | |
| cost-diff | 384 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) | |
| cost-diff | 256 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) | |
| cost-diff | 0 | (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) | |
| cost-diff | 0 | (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) | |
| cost-diff | 0 | #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (cos.f64 (+.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| 4 478× | lower-*.f32 |
| 4 442× | lower-*.f64 |
| 2 766× | lower-/.f32 |
| 2 748× | lower-/.f64 |
| 2 096× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 593 |
| 0 | 95 | 583 |
| 1 | 191 | 583 |
| 2 | 461 | 579 |
| 3 | 1617 | 579 |
| 4 | 4765 | 571 |
| 5 | 6208 | 571 |
| 0 | 8420 | 567 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 x c) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) |
#s(literal 1 binary64) |
(*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) |
s |
(*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) |
(*.f64 c x) |
c |
x |
(*.f64 s (*.f64 c x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
x |
c |
s |
(neg.f64 c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) |
#s(literal 1 binary64) |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
c |
x |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal -4/45 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) s) |
(*.f64 (*.f64 s c) c) |
(*.f64 s c) |
s |
c |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c)) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 c x) s) |
(*.f64 x c) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c)) |
#s(literal 1 binary64) |
(*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c) |
s |
(*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) |
(*.f64 c x) |
c |
x |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 c x) s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) s) s) (*.f64 c x)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
x |
c |
s |
(neg.f64 c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) |
#s(literal 1 binary64) |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 c x) s) |
s |
(*.f64 c x) |
c |
x |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal -4/45 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(*.f64 (*.f64 (*.f64 s c) c) s) |
(*.f64 (*.f64 s c) c) |
(*.f64 s c) |
s |
c |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.243473667053227 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) | |
| accuracy | 4.750212995467864 | (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) | |
| accuracy | 8.427191659668354 | (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) | |
| accuracy | 26.577810325523572 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) | |
| accuracy | 0.7729221007811395 | (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) | |
| accuracy | 4.546673771496183 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) | |
| accuracy | 4.8829441807211 | (*.f64 s (*.f64 c x)) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) | |
| accuracy | 3.8383952512639072 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) | |
| accuracy | 5.352180708594156 | (*.f64 (*.f64 x x) c) | |
| accuracy | 6.2434570930650874 | (*.f64 (*.f64 (*.f64 x x) c) s) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) | |
| accuracy | 0.4389286174879047 | (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) | |
| accuracy | 4.4011736511523045 | (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) | |
| accuracy | 4.8829441807211 | (*.f64 s (*.f64 c x)) | |
| accuracy | 12.848513487505699 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) | |
| accuracy | 0 | #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) | |
| accuracy | 0.18425751953688405 | (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) | |
| accuracy | 0.46435281570582454 | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| accuracy | 4.8829441807211 | (*.f64 (*.f64 x c) s) |
| 108.0ms | 256× | 0 | valid |
Compiled 499 to 57 computations (88.6% saved)
ival-mult: 35.0ms (41.8% of total)ival-div: 16.0ms (19.1% of total)ival-cos: 13.0ms (15.5% of total)const: 8.0ms (9.5% of total)ival-add: 5.0ms (6% of total)ival-pow2: 4.0ms (4.8% of total)ival-sub: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (patch (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) (patch (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x c) s) (patch (*.f64 (*.f64 x c) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) (patch (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 c x)) (patch (*.f64 s (*.f64 c x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) c) s) (patch (*.f64 (*.f64 (*.f64 x x) c) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) (patch (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) (patch #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (patch (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (patch (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (patch (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) (patch (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) (patch (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | c | @ | 0 | ((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* (* c x) (* s (* c x))))) (* s (* (* c x) (* s (* c x)))) (* (* c x) (* s (* c x))) (* (- 0 (* (* (* (* x x) c) s) s)) (neg c)) (- 0 (* (* (* (* x x) c) s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (- 0 (* (* (* (* x x) c) s) s)) (neg c))) (/ (/ (/ 1 (* s (* c x))) (* c x)) s) (/ (/ 1 (* s (* c x))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* c x))) (/ (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* s (* c x)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s)) (/ x (* (* (* s c) c) s))) |
| 7.0ms | c | @ | -inf | ((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* (* c x) (* s (* c x))))) (* s (* (* c x) (* s (* c x)))) (* (* c x) (* s (* c x))) (* (- 0 (* (* (* (* x x) c) s) s)) (neg c)) (- 0 (* (* (* (* x x) c) s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (- 0 (* (* (* (* x x) c) s) s)) (neg c))) (/ (/ (/ 1 (* s (* c x))) (* c x)) s) (/ (/ 1 (* s (* c x))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* c x))) (/ (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* s (* c x)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s)) (/ x (* (* (* s c) c) s))) |
| 6.0ms | x | @ | -inf | ((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* (* c x) (* s (* c x))))) (* s (* (* c x) (* s (* c x)))) (* (* c x) (* s (* c x))) (* (- 0 (* (* (* (* x x) c) s) s)) (neg c)) (- 0 (* (* (* (* x x) c) s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (- 0 (* (* (* (* x x) c) s) s)) (neg c))) (/ (/ (/ 1 (* s (* c x))) (* c x)) s) (/ (/ 1 (* s (* c x))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* c x))) (/ (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* s (* c x)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s)) (/ x (* (* (* s c) c) s))) |
| 6.0ms | c | @ | inf | ((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* (* c x) (* s (* c x))))) (* s (* (* c x) (* s (* c x)))) (* (* c x) (* s (* c x))) (* (- 0 (* (* (* (* x x) c) s) s)) (neg c)) (- 0 (* (* (* (* x x) c) s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (- 0 (* (* (* (* x x) c) s) s)) (neg c))) (/ (/ (/ 1 (* s (* c x))) (* c x)) s) (/ (/ 1 (* s (* c x))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* c x))) (/ (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* s (* c x)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s)) (/ x (* (* (* s c) c) s))) |
| 6.0ms | s | @ | 0 | ((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* (* c x) (* s (* c x))))) (* s (* (* c x) (* s (* c x)))) (* (* c x) (* s (* c x))) (* (- 0 (* (* (* (* x x) c) s) s)) (neg c)) (- 0 (* (* (* (* x x) c) s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (- 0 (* (* (* (* x x) c) s) s)) (neg c))) (/ (/ (/ 1 (* s (* c x))) (* c x)) s) (/ (/ 1 (* s (* c x))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* s (* c x))) (/ (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* s (* c x)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s)) (/ x (* (* (* s c) c) s))) |
| 1× | egg-herbie |
| 20 326× | lower-fma.f64 |
| 20 326× | lower-fma.f32 |
| 5 308× | lower-*.f64 |
| 5 308× | lower-*.f32 |
| 3 076× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 13214 |
| 1 | 384 | 13214 |
| 2 | 1160 | 13102 |
| 3 | 4440 | 12864 |
| 0 | 8033 | 12555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/ 1 (* (pow c 2) (* (pow s 2) x))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
(/ 1 (* (pow c 2) (pow s 2))) |
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(/ 1 (* (pow c 2) (pow s 2))) |
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) |
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* s (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2)))) |
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(* -4/45 (/ (pow x 5) (* (pow c 2) (pow s 2)))) |
(* (pow x 5) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 5) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
(* (pow x 5) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))))))) |
(* -4/45 (/ (pow x 6) (* (pow c 2) (pow s 2)))) |
(* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))) |
(* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4))))))) |
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(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ 1 (* c (* s x))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
(/ x (* (pow c 2) (pow s 2))) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) |
(* (pow c 2) (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) |
(* (pow c 2) (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) |
(* (pow c 2) (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(* -1 (* c (* (pow s 2) (pow x 2)))) |
(*.f64 (*.f64 (neg.f64 c) x) (*.f64 (*.f64 x s) s)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x)) |
(/ 1 (* (pow c 2) (* (pow s 2) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
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(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x) |
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(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ 1 (* (pow c 2) (* s (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x x) c) c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x x) c) c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x x) c) c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 (*.f64 (*.f64 x x) c) c)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 x (*.f64 c c))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 x (*.f64 c c))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 x (*.f64 c c))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 x (*.f64 c c))) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 s s)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))) (*.f64 c c)) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s x)) |
(*.f64 (*.f64 x s) c) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) c) x) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) c) x) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) c) x) |
(* c (* s (pow x 2))) |
(*.f64 (*.f64 (*.f64 x s) c) x) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ x (* (pow c 2) (pow s 2))) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ x (* (pow c 2) (pow s 2))) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ x (* (pow c 2) (pow s 2))) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/ x (* (pow c 2) (pow s 2))) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
| 5 056× | lower-/.f32 |
| 5 036× | lower-/.f64 |
| 3 936× | lower-*.f32 |
| 3 900× | lower-*.f64 |
| 3 210× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 483 |
| 0 | 95 | 447 |
| 1 | 335 | 385 |
| 2 | 2075 | 373 |
| 0 | 8344 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))) |
(*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) |
(*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)) |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 (*.f64 x x) c) s) |
(*.f64 (*.f64 x x) c) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) (cos.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)))) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)))) |
(pow.f64 (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)))) (neg.f64 (neg.f64 s))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 s c) c) s)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s c))) (neg.f64 (*.f64 s c))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s)) (neg.f64 (*.f64 (*.f64 s c) c))) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s c)) (*.f64 s c)) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c)) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c))) (neg.f64 s)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) s) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s c) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))) (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 s c) c) (/.f64 s (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c) c)) (pow.f64 (/.f64 s x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (pow.f64 (/.f64 (*.f64 s c) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s)) |
(*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 x (*.f64 (*.f64 s c) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 (*.f64 s c) c)))) (neg.f64 (neg.f64 s))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 s c))) (neg.f64 (*.f64 s c))) |
(/.f64 (neg.f64 (/.f64 x s)) (neg.f64 (*.f64 (*.f64 s c) c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) |
(/.f64 (/.f64 x (*.f64 s c)) (*.f64 s c)) |
(/.f64 (/.f64 x s) (*.f64 (*.f64 s c) c)) |
(/.f64 (neg.f64 (/.f64 x (*.f64 (*.f64 s c) c))) (neg.f64 s)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(/.f64 (/.f64 x (*.f64 (*.f64 s c) c)) s) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s c) (/.f64 x (*.f64 s c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s c) c) (/.f64 x s))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) |
(/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) s))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c))) (/.f64 x (*.f64 (neg.f64 s) (*.f64 (*.f64 s c) c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) #s(literal -1 binary64))) |
Compiled 57 595 to 3 441 computations (94% saved)
51 alts after pruning (47 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 121 | 25 | 2 146 |
| Fresh | 22 | 22 | 44 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 1 | 4 |
| Total | 2 148 | 51 | 2 199 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x) | |
| 92.7% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) s) | |
| 59.5% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) | |
| 82.5% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) | |
| 91.4% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x) s))) | |
| 81.0% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) | |
| 85.3% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)))) | |
| 95.2% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x s) c) (*.f64 (*.f64 x c) s)))) | |
| ✓ | 97.6% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
| 95.8% | (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) | |
| 57.4% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) | |
| 78.2% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) | |
| 54.5% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 60.1% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) | |
| 44.2% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s (*.f64 c x)) s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)))) | |
| 92.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (cos.f64 (+.f64 x x))) | |
| 49.0% | #s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) | |
| ✓ | 42.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
| 39.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)))) x) x)) | |
| ✓ | 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) | |
| 70.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) | |
| 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) | |
| 60.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) | |
| 76.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) | |
| 61.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) | |
| 73.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) | |
| 73.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) | |
| 71.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) | |
| 23.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (*.f64 (*.f64 x s) s))) x)) | |
| 65.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) | |
| 65.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) | |
| 66.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) c)))) | |
| 7.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) s) (*.f64 (*.f64 (*.f64 x x) c) s))) (neg.f64 c)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) | |
| 53.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) | |
| 61.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) | |
| 65.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) | |
| 74.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) | |
| 69.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) | |
| 77.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) | |
| 76.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) | |
| 65.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) | |
| 63.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) | |
| 71.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) | |
| ✓ | 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
| 70.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) | |
| 66.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) | |
| 17.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
Compiled 3 043 to 948 computations (68.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (/.f64 #s(literal 1 binary64) (*.f64 c x))) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) (sqrt.f64 c)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) (sqrt.f64 c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) s) (*.f64 (*.f64 (*.f64 x x) c) s))) (neg.f64 c)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (*.f64 (*.f64 x s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)))) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x s) c) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x) s))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) (*.f64 x s)) s)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) s) (*.f64 x x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))) s) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s)) x) |
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x))) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c c))) (*.f64 x s)) s) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 s (*.f64 c x)) s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) (sqrt.f64 c)) (sqrt.f64 c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (sqrt.f64 c)) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x s)) s))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 c (/.f64 (*.f64 (*.f64 x (*.f64 s s)) x) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
6 calls:
| 53.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 49.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 44.0ms | c |
| 41.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 40.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | c |
| 98.2% | 1 | s |
| 98.2% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 98.2% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.2% | 1 | (pow.f64 s #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (/.f64 #s(literal 1 binary64) (*.f64 c x))) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) (sqrt.f64 c)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) (sqrt.f64 c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) s) (*.f64 (*.f64 (*.f64 x x) c) s))) (neg.f64 c)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (*.f64 (*.f64 x s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)))) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x s) c) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 x s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x) s))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) (*.f64 x s)) s)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) s) (*.f64 x x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 s c))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) (*.f64 s s))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x))) (cos.f64 (+.f64 x x))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
6 calls:
| 49.0ms | s |
| 44.0ms | x |
| 36.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 30.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 25.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | s |
| 97.6% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 97.6% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 97.6% | 1 | x |
| 97.6% | 1 | c |
| 97.6% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (/.f64 #s(literal 1 binary64) (*.f64 c x))) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) (sqrt.f64 c)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) (sqrt.f64 c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) s) (*.f64 (*.f64 (*.f64 x x) c) s))) (neg.f64 c)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (*.f64 (*.f64 x s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)))) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) |
6 calls:
| 44.0ms | c |
| 37.0ms | x |
| 31.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 27.0ms | s |
| 19.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 97.8% | 2 | x |
| 97.8% | 2 | c |
| 95.8% | 1 | s |
| 97.8% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 95.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) x) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 s s) c) c)) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 c x)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) s)) (*.f64 (*.f64 (*.f64 c x) c) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c x)) (/.f64 #s(literal 1 binary64) (*.f64 c x))) s) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)) (sqrt.f64 c)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s))) (sqrt.f64 c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) (/.f64 #s(literal 1 binary64) s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) s) (*.f64 (*.f64 c x) s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) s) (*.f64 (*.f64 (*.f64 x x) c) s))) (neg.f64 c)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) c) s))) (*.f64 x x))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (*.f64 (*.f64 x s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) c)) (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x) (/.f64 x (*.f64 (*.f64 (*.f64 s c) c) s)))) x) x)) |
| Outputs |
|---|
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
6 calls:
| 50.0ms | c |
| 47.0ms | x |
| 43.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 40.0ms | s |
| 38.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 78.4% | 1 | s |
| 78.4% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 78.4% | 1 | x |
| 78.4% | 1 | c |
| 78.4% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) s)) (/.f64 #s(literal 1 binary64) (*.f64 c x)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
1 calls:
| 10.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x)) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) c))) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c x) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 s) (*.f64 c x)) (*.f64 c x))) s)) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s))) |
1 calls:
| 33.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 c x) s))) (*.f64 s x))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s)) |
6 calls:
| 31.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 11.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 10.0ms | x |
| 10.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 78.1% | 1 | s |
| 78.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 78.1% | 1 | x |
| 79.8% | 2 | c |
| 79.7% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) s) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* (* (+ (* -4/45 (* x x)) 2/3) x) x) (* (/ x (* (* (* s c) c) s)) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* s c) c) s))) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) s))) x)) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
3 calls:
| 12.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 8.0ms | c |
| 7.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 78.1% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 78.1% | 1 | c |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) (*.f64 s (*.f64 c c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) s) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x s) s) c) x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (neg.f64 x)) (neg.f64 s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (neg.f64 s)) (neg.f64 c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (* (* x x) c) s) (*.f64 (*.f64 (*.f64 x s) c) x)) s)) (neg.f64 c)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 1 | x |
| 78.1% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 23 to 15 computations (34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x)))) |
6 calls:
| 4.0ms | c |
| 3.0ms | x |
| 3.0ms | s |
| 3.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 3.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 77.7% | 1 | s |
| 79.5% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 77.7% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 79.5% | 2 | c |
| 77.7% | 1 | x |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
2 calls:
| 5.0ms | c |
| 2.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 79.5% | 2 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c x) (*.f64 s c)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
6 calls:
| 3.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | c |
| 3.0ms | s |
| 2.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 1 | s |
| 73.6% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 73.6% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 73.6% | 1 | x |
| 73.6% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 73.6% | 1 | c |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
6 calls:
| 3.0ms | x |
| 2.0ms | c |
| 2.0ms | s |
| 1.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 1.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 1 | s |
| 70.8% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 70.8% | 1 | x |
| 70.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 70.8% | 1 | c |
| 70.8% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
6 calls:
| 1.0ms | x |
| 1.0ms | s |
| 1.0ms | c |
| 1.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 1.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 1 | s |
| 66.2% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 66.2% | 1 | x |
| 66.2% | 1 | c |
| 66.2% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 66.2% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 75393255.1962286 | 4914101090.016495 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.928004262471571e-66 | -0.0 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.928004262471571e-66 | -0.0 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.3674816776126653e-64 | -3.928004262471571e-66 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 51380502972750.06 | 1.2264959866197346e+20 |
| 16.0ms | 144× | 0 | valid |
Compiled 355 to 198 computations (44.2% saved)
ival-cos: 5.0ms (41.4% of total)ival-mult: 3.0ms (24.8% of total)ival-pow2: 2.0ms (16.5% of total)ival-div: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.3674816776126653e-64 | -3.928004262471571e-66 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.7491505606246152e-50 | 1.7710424225951042e-47 |
| 13.0ms | 128× | 0 | valid |
Compiled 310 to 178 computations (42.6% saved)
ival-cos: 3.0ms (31.3% of total)ival-mult: 3.0ms (31.3% of total)ival-pow2: 3.0ms (31.3% of total)ival-div: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.2355611525789702e-10 | 1.4364978163293309e-8 |
| 4.0ms | 48× | 0 | valid |
Compiled 130 to 75 computations (42.3% saved)
ival-cos: 1.0ms (31.3% of total)ival-mult: 1.0ms (31.3% of total)ival-pow2: 1.0ms (31.3% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 662× | distribute-lft-neg-in_binary64 |
| 396× | neg-mul-1_binary64 |
| 388× | neg-sub0_binary64 |
| 354× | cancel-sign-sub_binary64 |
| 256× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 817 |
| 1 | 189 | 817 |
| 2 | 218 | 813 |
| 3 | 263 | 813 |
| 4 | 333 | 813 |
| 5 | 477 | 813 |
| 6 | 779 | 813 |
| 7 | 1062 | 813 |
| 8 | 1351 | 813 |
| 9 | 1615 | 813 |
| 10 | 1780 | 813 |
| 11 | 1879 | 813 |
| 12 | 1952 | 813 |
| 13 | 2005 | 813 |
| 14 | 2041 | 813 |
| 15 | 2055 | 813 |
| 16 | 2066 | 813 |
| 17 | 2078 | 813 |
| 18 | 2088 | 813 |
| 19 | 2091 | 813 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 100000000 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 c #s(literal 3700000000000000000 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(if (<=.f64 c #s(literal 822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x))))) |
(if (<=.f64 c #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))))) |
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 100000000 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 s x)) c))) |
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 100000000 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s (*.f64 c x))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s x)) c))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* (+ (* -2 (* x x)) 1) (/ 1 (* (* (* s c) c) s))) (* (* (+ (* -4/45 (* x x)) 2/3) (/ (* x x) (* (* (* s c) c) s))) (* x x))) (* x x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s c) s) c)) (*.f64 #s(literal -4/45 binary64) (*.f64 x x))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))))) |
(if (<=.f64 c #s(literal 3700000000000000000 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) c) (*.f64 x s)))) s))) |
(if (<=.f64 c #s(literal 3700000000000000000 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ 1 (* (* (* c x) c) x)) s) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) (*.f64 s x)))) s))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) (neg.f64 c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))))) |
(if (<=.f64 c #s(literal 822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) c) (*.f64 s x))))) |
(if (<=.f64 c #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x))))))) |
(if (<=.f64 c #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) (*.f64 c x)) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 c x) (*.f64 s (*.f64 c x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 c x)) (*.f64 c x)) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* c x) (* s (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s) c))) |
| 20 326× | lower-fma.f64 |
| 20 326× | lower-fma.f32 |
| 19 320× | lower-fma.f64 |
| 19 320× | lower-fma.f32 |
| 16 878× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 7104 |
| 1 | 171 | 7104 |
| 2 | 606 | 7034 |
| 3 | 3195 | 6984 |
| 4 | 6253 | 6984 |
| 0 | 8413 | 6948 |
| 0 | 50 | 1476 |
| 1 | 117 | 1476 |
| 2 | 383 | 1462 |
| 3 | 1958 | 1452 |
| 4 | 4779 | 1444 |
| 5 | 6925 | 1444 |
| 0 | 8022 | 1432 |
| 0 | 12 | 49 |
| 0 | 20 | 49 |
| 1 | 55 | 49 |
| 2 | 217 | 45 |
| 3 | 1946 | 39 |
| 0 | 8396 | 39 |
| 0 | 142 | 11050 |
| 1 | 364 | 11050 |
| 2 | 1098 | 10946 |
| 3 | 4023 | 10772 |
| 4 | 6565 | 10772 |
| 0 | 8283 | 10557 |
| 0 | 34 | 239 |
| 0 | 53 | 199 |
| 1 | 164 | 171 |
| 2 | 729 | 167 |
| 3 | 6282 | 167 |
| 0 | 8178 | 167 |
| 0 | 145 | 13214 |
| 1 | 384 | 13214 |
| 2 | 1160 | 13102 |
| 3 | 4440 | 12864 |
| 0 | 8033 | 12555 |
| 0 | 55 | 410 |
| 0 | 93 | 407 |
| 1 | 334 | 353 |
| 2 | 2133 | 316 |
| 0 | 8594 | 316 |
| 0 | 57 | 483 |
| 0 | 95 | 447 |
| 1 | 335 | 385 |
| 2 | 2075 | 373 |
| 0 | 8344 | 373 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 396 to 570 computations (59.2% saved)
(abs x)
Compiled 2 752 to 1 072 computations (61% saved)
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