
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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-mult: 260.0ms (35.6% of total)ival-pow2: 207.0ms (28.4% of total)ival-cos: 199.0ms (27.3% of total)ival-div: 49.0ms (6.7% of total)ival-true: 6.0ms (0.8% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 60 | 0 | - | 1 | (-9.979415831464694e+258 -6.322132812972635e-156 3.2900282640990365e-247) | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 42 | 0 | - | 1 | (8.871677525795726e+105 -7.324475532644992e-94 1.1719737689027426e-157) | (*.f64 x (pow.f64 s #s(literal 2 binary64))) |
| 14 | 0 | - | 3 | (-8.105773161591446e+96 -2.674341633066589e-127 2.47448425349268e-205) | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| 1 | 1 | (2.7536664963720047e+299 -3.904536541197354e+159 2.4783357279626275e-298) | 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 | 115 | (-8.490463862538882e+110 6.3005617657846065e-58 2.6613937859139136e+106) | 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 | 115 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 29 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 78 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 83 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 71 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 71 | |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*o | 23 | 0 |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*u | 18 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 11 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 53 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 68 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 59 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 64 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*u | 10 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*o | 9 | 0 |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*o | 6 | 0 |
*.f64 | (*.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 | 68 | |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 78 | |
| ↳ | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | overflow | 86 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 59 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 89 | 0 |
| - | 87 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 89 | 0 | 0 |
| - | 87 | 0 | 80 |
| number | freq |
|---|---|
| 0 | 80 |
| 1 | 127 |
| 2 | 46 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 512× | 0 | valid |
Compiled 135 to 40 computations (70.4% saved)
ival-mult: 17.0ms (42% of total)ival-cos: 10.0ms (24.7% of total)ival-pow2: 10.0ms (24.7% of total)ival-div: 3.0ms (7.4% 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 #s(literal 2 binary64) x)) (*.f64 x (*.f64 s (*.f64 c (*.f64 x (*.f64 c s)))))) |
(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 |
|---|---|---|
| ▶ | 67.0% | (/.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))) |
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 #s(literal 2 binary64) x)) (*.f64 x (*.f64 s (*.f64 c (*.f64 x (*.f64 c s)))))) |
(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)) |
(*.f64 x (*.f64 s (*.f64 c (*.f64 x (*.f64 c s))))) |
(pow.f64 c #s(literal 2 binary64)) |
(*.f64 c c) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 s (*.f64 x (*.f64 x s))) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(*.f64 x (*.f64 s s)) |
(pow.f64 s #s(literal 2 binary64)) |
(*.f64 s s) |
s |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15274721800160945 | (/.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 | 4.533181128031501 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | |
| accuracy | 9.390456259663505 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | |
| accuracy | 12.59744305210844 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 31.0ms | 256× | 0 | valid |
Compiled 58 to 14 computations (75.9% saved)
ival-cos: 8.0ms (39.1% of total)ival-mult: 6.0ms (29.3% of total)ival-pow2: 4.0ms (19.5% of total)ival-div: 1.0ms (4.9% 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 (pow c 2) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#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 (/ (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 (* (pow s 2) (pow x 2)) (taylor -inf s) (#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 -inf s) (#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>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | s | @ | 0 | (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) |
| 3.0ms | c | @ | 0 | (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) |
| 2.0ms | x | @ | 0 | (* x (pow s 2)) |
| 2.0ms | x | @ | inf | (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) |
| 1.0ms | x | @ | 0 | (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) |
| 1× | egg-herbie |
| 15 610× | lower-fma.f64 |
| 15 610× | lower-fma.f32 |
| 5 362× | lower-*.f64 |
| 5 362× | lower-*.f32 |
| 2 446× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1476 |
| 1 | 117 | 1476 |
| 2 | 383 | 1462 |
| 3 | 1957 | 1452 |
| 4 | 4755 | 1444 |
| 5 | 6901 | 1444 |
| 0 | 8120 | 1432 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(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 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))) |
(* (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))) |
(* (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))) |
(* (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) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (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 x 2)) |
(* (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 x 2)) |
(* (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 x 2)) |
(* (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 x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
(* (pow s 2) (pow x 2)) |
| Outputs |
|---|
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow s 2) |
(*.f64 s 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) |
(pow s 2) |
(*.f64 s 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) |
(pow s 2) |
(*.f64 s s) |
(pow s 2) |
(*.f64 s s) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 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 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 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 s (*.f64 c (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #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 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) x) |
(*.f64 s (*.f64 s x)) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
| 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 |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 c))) |
(pow.f64 c #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 c) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 c)) |
(pow.f64 (*.f64 (*.f64 c c) (*.f64 c c)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 c)) |
(*.f64 c c) |
(*.f64 (sqrt.f64 c) (*.f64 c (sqrt.f64 c))) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 c (sqrt.f64 c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (*.f64 c (sqrt.f64 c)) #s(literal 1 binary64)) (sqrt.f64 c)) |
(exp.f64 (log.f64 (*.f64 s s))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 s))) |
(pow.f64 s #s(literal 2 binary64)) |
(pow.f64 (*.f64 s s) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 s) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 s)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 s)) |
(pow.f64 (*.f64 (*.f64 s s) (*.f64 s s)) #s(literal 1/2 binary64)) |
(*.f64 s s) |
(*.f64 (sqrt.f64 s) (*.f64 s (sqrt.f64 s))) |
(*.f64 (sqrt.f64 s) (pow.f64 (*.f64 s (sqrt.f64 s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (sqrt.f64 s)) (sqrt.f64 s)) |
(*.f64 (pow.f64 (*.f64 s (sqrt.f64 s)) #s(literal 1 binary64)) (sqrt.f64 s)) |
(+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))) #s(literal 1 binary64))) (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c))) (*.f64 s (*.f64 s (*.f64 x x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c))) (*.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 c c))) (*.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c))) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 c c))) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x)))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c))) (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x)))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 s (*.f64 s (*.f64 x x))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 c c))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 s (*.f64 s x))) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 s (*.f64 s x))) x)) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 s (*.f64 s x))) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 s (*.f64 s x))) (*.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (*.f64 #s(literal 1 binary64) x))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (sin.f64 x) #s(literal 12 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) |
(pow.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) |
(neg.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(pow.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) |
(*.f64 c (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(*.f64 c (/.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 (*.f64 c c) (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x)))))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 s (*.f64 s (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))) |
(*.f64 (*.f64 s s) (*.f64 x (*.f64 (*.f64 c c) x))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c))) |
(*.f64 x (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) |
(*.f64 x (/.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 s x)) (*.f64 (*.f64 c c) x)) |
(*.f64 (*.f64 s (*.f64 s x)) (/.f64 (*.f64 (*.f64 c c) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (*.f64 c c)) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (neg.f64 (*.f64 c c)))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (/.f64 (*.f64 c c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 (*.f64 c c)))) |
(*.f64 (neg.f64 (*.f64 c c)) (neg.f64 (*.f64 s (*.f64 s (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x)))) (neg.f64 (*.f64 c c))) |
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)))) |
(*.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 c (*.f64 s x)) s)) (neg.f64 x)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 s s))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 c c) x) (/.f64 (*.f64 s (*.f64 s x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (*.f64 c (*.f64 c (*.f64 s s)))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x x))))) (*.f64 c c)) |
(*.f64 (neg.f64 (neg.f64 (*.f64 c c))) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 c (*.f64 s x)) s))) x) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s)) |
(*.f64 (*.f64 x (*.f64 (*.f64 c c) x)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 s (*.f64 s x)) |
(*.f64 (*.f64 s s) x) |
(*.f64 x (*.f64 s s)) |
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) (*.f64 s x))) |
(*.f64 (*.f64 s x) s) |
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 s)) (sqrt.f64 s)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 s (*.f64 (*.f64 s x) x)) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 x (*.f64 s (*.f64 s x))) |
(*.f64 (*.f64 s (*.f64 s x)) x) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 s x) (*.f64 s x)) |
(*.f64 (*.f64 x (*.f64 s x)) s) |
(*.f64 (*.f64 (*.f64 x x) s) s) |
Compiled 27 919 to 2 414 computations (91.4% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 806 | 27 | 833 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 807 | 27 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| 79.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) | |
| ▶ | 75.8% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
| 68.2% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) | |
| 76.2% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s x))) (*.f64 (*.f64 c c) x)) | |
| 90.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) | |
| ▶ | 68.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
| 12.1% | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) x)) (*.f64 s (*.f64 s x))) (*.f64 (*.f64 s (*.f64 s x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 c c) x)))) (*.f64 (*.f64 s (*.f64 s x)) (*.f64 s (*.f64 s x)))) | |
| 29.2% | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 s (*.f64 s x))) x) (*.f64 (*.f64 (*.f64 c c) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) (*.f64 (*.f64 (*.f64 c c) x) x)) | |
| 21.8% | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) x))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)))) | |
| 68.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| ▶ | 98.1% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
| 78.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) | |
| 67.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s))) | |
| 79.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) | |
| 92.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s))) | |
| ▶ | 90.1% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
| 84.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) | |
| 89.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) | |
| 50.1% | (-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 s (*.f64 s x))) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 s (*.f64 s x))) x)) | |
| 68.1% | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) (/.f64 #s(literal 1 binary64) c)) | |
| 89.9% | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x)) | |
| 68.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) | |
| 92.2% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 c (*.f64 s x)) s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) | |
| 37.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) | |
| 49.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) | |
| 47.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) | |
| ▶ | 76.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
Compiled 1 396 to 750 computations (46.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) | |
| cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) | |
| cost-diff | 384 | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (cos.f64 (+.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 x x)) c) | |
| cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) | |
| cost-diff | 0 | (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) 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 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 5504 | (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
| 844× | associate-/r* |
| 756× | lower-/.f32 |
| 742× | lower-/.f64 |
| 330× | lower-*.f32 |
| 294× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 301 |
| 0 | 74 | 281 |
| 1 | 147 | 269 |
| 2 | 313 | 269 |
| 3 | 684 | 269 |
| 4 | 720 | 269 |
| 5 | 722 | 269 |
| 6 | 722 | 269 |
| 7 | 900 | 269 |
| 8 | 919 | 269 |
| 9 | 919 | 269 |
| 0 | 919 | 269 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 c s) x) |
(*.f64 c s) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
x |
(*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
(*.f64 s (*.f64 c (*.f64 c s))) |
s |
(*.f64 c (*.f64 c s)) |
c |
(*.f64 c s) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
c |
(*.f64 (*.f64 c (*.f64 s x)) s) |
(*.f64 c (*.f64 s x)) |
(*.f64 s x) |
s |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) c) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
c |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 s (*.f64 s (*.f64 x x))) |
s |
(*.f64 s (*.f64 x x)) |
(*.f64 x x) |
c |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s)))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s))))) |
(*.f64 (*.f64 c s) x) |
(*.f64 x (*.f64 c s)) |
(*.f64 c s) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s)))))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s))))) |
x |
(*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
(*.f64 (*.f64 s (*.f64 c c)) (*.f64 x s)) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 s (*.f64 s (*.f64 c c))) |
s |
(*.f64 c (*.f64 c s)) |
(*.f64 s (*.f64 c c)) |
c |
(*.f64 c s) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s)))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s))))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
(*.f64 (*.f64 s (*.f64 c c)) (*.f64 x s)) |
c |
(*.f64 (*.f64 c (*.f64 s x)) s) |
(*.f64 (*.f64 c s) (*.f64 x s)) |
(*.f64 c (*.f64 s x)) |
(*.f64 x (*.f64 c s)) |
(*.f64 s x) |
(*.f64 x s) |
s |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s)))))) |
(/.f64 (cos.f64 (+.f64 x x)) c) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
c |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 s (*.f64 c (*.f64 x (*.f64 x s)))) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.f64 x (*.f64 x c)) |
(*.f64 x x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 c (*.f64 x (*.f64 x s)))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 x (*.f64 x s))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 x s)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 s (*.f64 x (*.f64 x s))) |
s |
(*.f64 s (*.f64 x x)) |
(*.f64 x (*.f64 x s)) |
(*.f64 x x) |
c |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.545740648542523 | (*.f64 s (*.f64 s (*.f64 x x))) | |
| accuracy | 3.0728715024989244 | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) | |
| accuracy | 4.255491188129127 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) | |
| accuracy | 9.63857176028513 | (*.f64 s (*.f64 x x)) | |
| accuracy | 0.1328125 | (/.f64 (cos.f64 (+.f64 x x)) c) | |
| accuracy | 3.670858718576616 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) | |
| accuracy | 6.722299617777239 | (*.f64 (*.f64 x x) c) | |
| accuracy | 15.947607156959428 | (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) | |
| accuracy | 0.684098005147632 | (*.f64 (*.f64 c (*.f64 s x)) s) | |
| accuracy | 3.6168186908409012 | (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) | |
| accuracy | 3.92061899878859 | (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) | |
| accuracy | 4.153312007791337 | (*.f64 c (*.f64 s x)) | |
| accuracy | 3.8686392683922244 | (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) | |
| accuracy | 3.8758159704207262 | (*.f64 s (*.f64 c (*.f64 c s))) | |
| accuracy | 3.92061899878859 | (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) | |
| accuracy | 9.678663482720294 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) | |
| accuracy | 0.00390625 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.15274721800160945 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| accuracy | 0.17578125 | (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) | |
| accuracy | 4.180222863814827 | (*.f64 (*.f64 c s) x) |
| 142.0ms | 256× | 0 | valid |
Compiled 289 to 43 computations (85.1% saved)
ival-mult: 74.0ms (68.7% of total)ival-div: 15.0ms (13.9% of total)ival-cos: 10.0ms (9.3% of total)ival-pow2: 6.0ms (5.6% of total)ival-add: 1.0ms (0.9% 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 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<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 #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) (patch (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (patch (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) (patch (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) c) (patch (/.f64 (cos.f64 (+.f64 x x)) c) #<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 (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c s) x) (patch (*.f64 (*.f64 c s) x) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 s x)) s) (patch (*.f64 (*.f64 c (*.f64 s x)) s) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) (patch (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 x x)) (patch (*.f64 s (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 s (*.f64 s (*.f64 x x))) (patch (*.f64 s (*.f64 s (*.f64 x x))) #<representation binary64>) () ())) ()) |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | c | @ | inf | (* (* x x) c) |
| 4.0ms | x | @ | -inf | (/ (cos (+ x x)) c) |
| 3.0ms | x | @ | 0 | (/ (/ (cos (+ x x)) c) (* (* s s) (* (* x x) c))) |
| 1.0ms | x | @ | -inf | (/ (/ (cos (+ x x)) c) (* (* s s) (* (* x x) c))) |
| 1.0ms | s | @ | 0 | (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) |
| 1× | egg-herbie |
| 15 620× | lower-fma.f64 |
| 15 620× | lower-fma.f32 |
| 6 848× | lower-*.f64 |
| 6 848× | lower-*.f32 |
| 2 440× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 8352 |
| 1 | 311 | 8352 |
| 2 | 908 | 8264 |
| 3 | 3417 | 8202 |
| 4 | 5918 | 8202 |
| 0 | 8139 | 8142 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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) (* (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) (* (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) (* (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) (* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (pow c 2) (* (pow s 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) 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) 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) 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) 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) 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) 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) 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) x)) |
(* (pow c 2) (* (pow s 2) x)) |
(* (pow c 2) (* (pow s 2) x)) |
(* (pow c 2) (* (pow s 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
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(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* c (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (pow x 2)) |
(* s (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 x 2)) |
(* (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 x 2)) |
(* (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 x 2)) |
(* (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 x 2)) |
(* (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 x 2)) |
| Outputs |
|---|
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 c (*.f64 s s)))) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 c (*.f64 s s)))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))))) (*.f64 x x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 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))) |
(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))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 c (*.f64 s s)))) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 c (*.f64 s s)))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))))) (*.f64 x x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
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(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* s (pow x 2)) |
(*.f64 s (*.f64 x x)) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(* (pow s 2) (pow x 2)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
| 688× | lower-*.f32 |
| 652× | lower-*.f64 |
| 604× | lower-/.f32 |
| 590× | lower-/.f64 |
| 116× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 246 |
| 0 | 74 | 226 |
| 1 | 235 | 196 |
| 0 | 1165 | 196 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) c) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 (*.f64 c s) x) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 c (*.f64 s x)) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
(*.f64 (*.f64 c (*.f64 s x)) s) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 (*.f64 x x) c) |
(*.f64 s (*.f64 x x)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 s (*.f64 c x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(/.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 s (*.f64 c x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 s (*.f64 c x)))) #s(literal 2 binary64)) |
(*.f64 c (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) |
(*.f64 s (*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) c)) |
(*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 x (*.f64 s s))))) |
(*.f64 x (/.f64 (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))) x) |
(*.f64 (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 s (*.f64 c x)))) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s s))) (*.f64 c x)) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 c (*.f64 x x)) c)) |
(*.f64 (*.f64 x x) (*.f64 c (*.f64 (*.f64 c s) s))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 c (*.f64 (*.f64 c s) s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 x x)) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c) |
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 c (*.f64 c s))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (*.f64 c c)) |
(*.f64 (*.f64 c (*.f64 s (*.f64 c x))) (*.f64 s x)) |
(*.f64 (*.f64 c x) (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 s (*.f64 c x)))) (exp.f64 (log.f64 (*.f64 s (*.f64 c x))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s) |
(*.f64 (*.f64 (*.f64 s (*.f64 c x)) x) (*.f64 c s)) |
(+.f64 x x) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) (neg.f64 c))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x)))) c)) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 c)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s))))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (neg.f64 (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) (neg.f64 (neg.f64 c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) (cos.f64 (+.f64 x x))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))) (neg.f64 (*.f64 c c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))) (*.f64 c (neg.f64 c))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) (neg.f64 c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x)))) (neg.f64 c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 c)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c (/.f64 (*.f64 s (*.f64 s (*.f64 x x))) (cos.f64 (+.f64 x x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) (/.f64 c (cos.f64 (+.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s (*.f64 s (*.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s))))) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 (*.f64 c c) (*.f64 s (*.f64 x x)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 c c)) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))) #s(literal 1 binary64)) (*.f64 (neg.f64 c) c)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c))) (neg.f64 (*.f64 c (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)))) (neg.f64 c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) s) (*.f64 (*.f64 c s) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 c (*.f64 x x))) (*.f64 s s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) c) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) x) (*.f64 c x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 x x)) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 x (*.f64 s s))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 s s))) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c s) s))) (*.f64 x x)) |
(pow.f64 (/.f64 (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) c) c)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) c))) |
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(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 x x)) s) |
(pow.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 x x))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x))))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x x)) (neg.f64 s)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 s (*.f64 c x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1 binary64)) |
(*.f64 c (*.f64 s x)) |
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 1 binary64))) |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 c s) x) |
(*.f64 x (*.f64 c s)) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) c) |
(*.f64 (pow.f64 (*.f64 c s) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c s)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 c s) #s(literal 2 binary64)) |
(*.f64 c (*.f64 s (*.f64 c s))) |
(*.f64 c (*.f64 (*.f64 c s) s)) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 (*.f64 c s) (*.f64 c s)) |
(*.f64 (*.f64 c c) (*.f64 s s)) |
(*.f64 (*.f64 c (*.f64 c s)) s) |
(*.f64 (*.f64 s s) (*.f64 c c)) |
(*.f64 (pow.f64 (*.f64 c s) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 c s)) c) |
(*.f64 (*.f64 (*.f64 c s) s) c) |
(exp.f64 (*.f64 (log.f64 (*.f64 s (*.f64 c x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1 binary64)) |
(*.f64 c (*.f64 s x)) |
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 1 binary64))) |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 c s) x) |
(*.f64 x (*.f64 c s)) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) c) |
(*.f64 (pow.f64 (*.f64 c s) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 s (*.f64 c x)) #s(literal 1/2 binary64))) |
(*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 s (*.f64 c (*.f64 s (*.f64 c x)))) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 c s)))) |
(*.f64 (*.f64 c s) (*.f64 s (*.f64 c x))) |
(*.f64 x (*.f64 c (*.f64 (*.f64 c s) s))) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 c s)) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 c c)) |
(*.f64 (*.f64 c (*.f64 c s)) (*.f64 s x)) |
(*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 c s))) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s s))) c) |
(*.f64 (*.f64 c (*.f64 s (*.f64 c x))) s) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s) |
(*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) s) |
(*.f64 c (*.f64 x (*.f64 s s))) |
(*.f64 s (*.f64 s (*.f64 c x))) |
(*.f64 (*.f64 c s) (*.f64 s x)) |
(*.f64 x (*.f64 (*.f64 c s) s)) |
(*.f64 (*.f64 s (*.f64 c x)) s) |
(*.f64 (*.f64 x (*.f64 s s)) c) |
(*.f64 (*.f64 s x) (*.f64 c s)) |
(*.f64 (*.f64 s (*.f64 c s)) x) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 s (*.f64 (*.f64 c s) (*.f64 x x))) |
(*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) |
(*.f64 (*.f64 c s) (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 x (*.f64 (*.f64 c x) (*.f64 s s))) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s x)) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 c x)) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s s))) x) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) |
(*.f64 (*.f64 c (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 c s)) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) c) |
(*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) s) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 s (*.f64 x x))) s) |
(*.f64 c (*.f64 x x)) |
(*.f64 x (*.f64 c x)) |
(*.f64 (*.f64 x x) c) |
(*.f64 (*.f64 c x) x) |
(*.f64 s (*.f64 x x)) |
(*.f64 x (*.f64 s x)) |
(*.f64 (*.f64 s x) x) |
(*.f64 (*.f64 x x) s) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 x (*.f64 s s)) x) |
(*.f64 (*.f64 s x) (*.f64 s x)) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 s (*.f64 x x)) s) |
Compiled 26 440 to 1 169 computations (95.6% saved)
40 alts after pruning (40 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 475 | 36 | 1 511 |
| Fresh | 18 | 4 | 22 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 498 | 40 | 1 538 |
| Status | Accuracy | Program |
|---|---|---|
| 79.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) | |
| 53.9% | (/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) | |
| 70.9% | (/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) | |
| 67.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x))) | |
| 91.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) c) | |
| ▶ | 98.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
| 43.5% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) | |
| 90.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| 94.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) | |
| 91.8% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c)) | |
| ▶ | 98.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
| 90.1% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 s x) (*.f64 c s))) x)) | |
| 81.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) c))) | |
| 77.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* (* c s) x) 2) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) | |
| 55.3% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| ▶ | 58.2% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
| 65.5% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 62.7% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| 83.9% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 89.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) | |
| 80.5% | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 c))) | |
| 94.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) | |
| 68.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) | |
| 69.3% | #s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) | |
| 79.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) | |
| 64.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) | |
| 83.1% | #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)))) | |
| 67.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) | |
| 49.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) | |
| ▶ | 73.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) |
| 79.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) | |
| 81.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) | |
| 71.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) | |
| 83.1% | #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))))) | |
| 61.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.f64 (*.f64 s s) c)))) | |
| 78.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) | |
| 79.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) | |
| 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) | |
| 71.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) | |
| ▶ | 82.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) |
Compiled 1 532 to 900 computations (41.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 c s)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 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 x) (*.f64 c s)) (*.f64 c s)))) | |
| cost-diff | 0 | (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))) | |
| cost-diff | 0 | (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s 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 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 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 s (*.f64 c x))) | |
| cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
| 1 306× | associate-/r* |
| 1 134× | lower-/.f32 |
| 1 124× | lower-/.f64 |
| 404× | lower-*.f32 |
| 372× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 352 |
| 0 | 75 | 352 |
| 1 | 161 | 352 |
| 2 | 422 | 352 |
| 3 | 1009 | 352 |
| 4 | 1088 | 352 |
| 5 | 1088 | 352 |
| 6 | 1395 | 352 |
| 7 | 1398 | 352 |
| 0 | 1398 | 352 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) |
c |
(*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))) |
(*.f64 s x) |
s |
x |
(*.f64 s (*.f64 c x)) |
(*.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 x) (*.f64 c s)) (*.f64 c s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) |
(*.f64 (*.f64 x x) (*.f64 c s)) |
(*.f64 x x) |
x |
(*.f64 c s) |
c |
s |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
#s(literal 2/3 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
c |
(*.f64 (*.f64 c (*.f64 s x)) s) |
(*.f64 c (*.f64 s x)) |
(*.f64 s x) |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
c |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 x s))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 x s)) |
s |
(*.f64 c x) |
(*.f64 x c) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s 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 x (*.f64 c (*.f64 c (*.f64 x s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s)))))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s))))) |
c |
(*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 x s)))) |
(*.f64 s x) |
(*.f64 x s) |
s |
x |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 x s)) |
(*.f64 c x) |
(*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s)))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s))))) |
(*.f64 (*.f64 x x) (*.f64 c s)) |
(*.f64 x (*.f64 c (*.f64 x s))) |
(*.f64 x x) |
x |
(*.f64 c s) |
(*.f64 s c) |
c |
s |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s)))))) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) |
(*.f64 x x) |
#s(literal 2/3 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s))))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
(*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))) |
c |
(*.f64 (*.f64 c (*.f64 s x)) s) |
(*.f64 s (*.f64 c (*.f64 x s))) |
(*.f64 c (*.f64 s x)) |
(*.f64 c (*.f64 x s)) |
(*.f64 s x) |
(*.f64 x s) |
s |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s)))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 x (*.f64 c (*.f64 c (*.f64 x s))))) |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 x s)) |
s |
(*.f64 c x) |
(*.f64 x c) |
c |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.15274721800160945 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) | |
| accuracy | 3.6168186908409012 | (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) | |
| accuracy | 3.92061899878859 | (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) | |
| accuracy | 4.153312007791337 | (*.f64 c (*.f64 s x)) | |
| accuracy | 28.332074584101232 | #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.14830384486196127 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) | |
| accuracy | 2.612643397696755 | (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) | |
| accuracy | 9.678663482720294 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) | |
| accuracy | 10.383042569859727 | (*.f64 (*.f64 x x) (*.f64 c s)) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))) | |
| accuracy | 3.5506788736124495 | (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) | |
| accuracy | 9.678663482720294 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) | |
| accuracy | 0.00390625 | (cos.f64 (+.f64 x x)) | |
| accuracy | 0.13900375976844204 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) | |
| accuracy | 0.3055170695600308 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) |
| 85.0ms | 256× | 0 | valid |
Compiled 306 to 44 computations (85.6% saved)
ival-mult: 30.0ms (48.5% of total)ival-cos: 11.0ms (17.8% of total)ival-div: 10.0ms (16.2% of total)ival-add: 4.0ms (6.5% of total)const: 4.0ms (6.5% of total)ival-pow2: 4.0ms (6.5% 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 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) #<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 c (*.f64 (*.f64 s 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 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) (patch (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 s x) (*.f64 s (*.f64 c 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 x) (*.f64 c s)) (*.f64 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 x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) (patch (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 c x)) (patch (*.f64 s (*.f64 c x)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) (patch (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) 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 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.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 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.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 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.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 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (patch (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) #<representation binary64>) () ())) ()) |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | s | @ | 0 | (* (* x x) (* c s)) |
| 2.0ms | s | @ | inf | (/ (cos (+ x x)) (* s (* c x))) |
| 1.0ms | x | @ | -inf | (/ (cos (+ x x)) (* s (* c x))) |
| 1.0ms | x | @ | inf | (/ (cos (+ x x)) (* s (* c x))) |
| 1.0ms | c | @ | 0 | (* (* x x) (* c s)) |
| 1× | egg-herbie |
| 18 960× | lower-fma.f64 |
| 18 960× | lower-fma.f32 |
| 6 218× | lower-*.f64 |
| 6 218× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 7956 |
| 1 | 256 | 7956 |
| 2 | 788 | 7880 |
| 3 | 2946 | 7810 |
| 4 | 5140 | 7810 |
| 0 | 8365 | 7744 |
| 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)) |
(/ (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 (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 (* 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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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))) |
(/ (+ (* -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) |
(/ (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 (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 (* 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)) (* c (* s x))) |
(/ (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)) (* c (* s x))) |
(/ (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)) (* c (* s x))) |
(/ (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)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/ (cos (* 2 x)) (* 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))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 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) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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) (* (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) (* (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) (* (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) (* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (pow c 2) (* (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))) |
(* 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))) |
(* 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))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
(* c (* (pow s 2) (pow x 2))) |
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(* (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))) |
(* (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))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 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) 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) 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) 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) 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) 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) 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) 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) x)) |
(* (pow c 2) (* (pow s 2) x)) |
(* (pow c 2) (* (pow s 2) x)) |
(* (pow c 2) (* (pow s 2) x)) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 c (*.f64 s s)))) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 x (*.f64 x (*.f64 (/.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) (*.f64 x x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ 1 (* c (* s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) |
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s))) 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 x) (*.f64 c s)) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (neg (* -2 x))) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
(/ (cos (* 2 x)) (* c (* s x))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 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))) |
(cos (* 2 x)) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(cos (neg (* -2 x))) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(cos (neg (* -2 x))) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(cos (neg (* -2 x))) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(cos (neg (* -2 x))) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 c (*.f64 s s)))) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s 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 x (*.f64 x (*.f64 (/.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) (*.f64 x x)) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x)))))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
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(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) |
| 898× | lower-*.f32 |
| 866× | lower-*.f64 |
| 668× | lower-/.f32 |
| 658× | lower-/.f64 |
| 338× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 284 |
| 0 | 75 | 244 |
| 1 | 259 | 222 |
| 0 | 1422 | 222 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) |
(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 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x))))) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))) |
(*.f64 (*.f64 s 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 x) (*.f64 c s)) (*.f64 c s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) |
(*.f64 (*.f64 x x) (*.f64 c s)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 s x)) |
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (neg.f64 (*.f64 x (*.f64 s c))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 s c)))) (*.f64 x (*.f64 s c)))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x (*.f64 s c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (neg.f64 (neg.f64 (*.f64 x (*.f64 s c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 s s))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) (cos.f64 (+.f64 x x))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 s c)))) (neg.f64 (*.f64 x (*.f64 s c)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (/.f64 (*.f64 x (*.f64 s c)) (cos.f64 (+.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 x (*.f64 x (*.f64 s s))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c))))) (neg.f64 (*.f64 x c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) #s(literal 1 binary64)) (*.f64 x (*.f64 s c))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) (*.f64 x c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s s)))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s (*.f64 x (*.f64 s c))))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 x (*.f64 s s))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 s s))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) c) (*.f64 x s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x c)) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x s)) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 s c)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 c (*.f64 x (*.f64 x c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) x) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) c) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) (cos.f64 (+.f64 x x))) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 s c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 s c))))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) (/.f64 #s(literal 1 binary64) (*.f64 x c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (*.f64 x c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s s))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (*.f64 x s))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) s)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) c)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) x)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 s c))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 s c)))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 s c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 s c)) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 s c)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x c) (/.f64 (cos.f64 (+.f64 x x)) s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 s c)) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 x (*.f64 s c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 x c)) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 s c))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 s c))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) s)) (neg.f64 (*.f64 x c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 x s)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x c)) s) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) x) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) c) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 s c)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c)))) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 s c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 #s(literal 1 binary64) (*.f64 x c))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(cos.f64 (+.f64 x x)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 x x) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s c) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (*.f64 x (*.f64 s c))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c)) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c))))) (neg.f64 (*.f64 s c))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) c)) (neg.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s s)))) (*.f64 c c)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 x (*.f64 x (*.f64 s c)))) |
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(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 x (*.f64 x (*.f64 s s))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c))))) (neg.f64 (*.f64 x c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) #s(literal 1 binary64)) (*.f64 x (*.f64 s c))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) (*.f64 x c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s s)))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s (*.f64 x (*.f64 s c))))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 x (*.f64 s s))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 s s))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) c) (*.f64 x s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x c)) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x s)) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 s c)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 c (*.f64 x (*.f64 x c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) x) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) c) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) (cos.f64 (+.f64 x x))) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 x (*.f64 s c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 s c))))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 s c)))) (/.f64 #s(literal 1 binary64) (*.f64 x c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (*.f64 x c))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s s))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) (*.f64 x s))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) s)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) c)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c))) x)) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(cos.f64 (+.f64 x x)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 s c))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 s c))))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) |
(*.f64 s (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))) |
(*.f64 s (/.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 c (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(*.f64 c (/.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))) |
(*.f64 (*.f64 x (*.f64 s c)) (/.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 x (*.f64 s s)))) |
(*.f64 (*.f64 c c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 x s) (*.f64 x s))) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 x (*.f64 x c)))) |
(*.f64 (*.f64 s s) (/.f64 (*.f64 c (*.f64 x (*.f64 x c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s s))) (*.f64 c c)) |
(*.f64 (*.f64 x s) (*.f64 c (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) c) |
(*.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 s c)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 s (*.f64 c (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 s c) (*.f64 x (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 s c) (/.f64 (*.f64 x (*.f64 x (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s c))) (*.f64 s c)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s c))) (/.f64 (*.f64 s c) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 x (*.f64 s c))) (*.f64 x c)) |
(*.f64 (*.f64 s (*.f64 x (*.f64 s c))) (/.f64 (*.f64 x c) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 s (*.f64 x (*.f64 s c)))) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 c (*.f64 x (*.f64 x c))) (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 x c)) (*.f64 s (*.f64 s c))) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s c))) (*.f64 x s)) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) (/.f64 s #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 c (*.f64 s c))) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (*.f64 c c)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x s) (*.f64 x s)) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 x (*.f64 s s))) |
(*.f64 x (*.f64 s c)) |
(*.f64 s (*.f64 x c)) |
(*.f64 c (*.f64 x s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 x s) c) |
(*.f64 (*.f64 s c) x) |
(*.f64 x (*.f64 s c)) |
(*.f64 s (*.f64 x c)) |
(*.f64 c (*.f64 x s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 x s) c) |
(*.f64 (*.f64 s c) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 s c))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 s c))))) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) |
(*.f64 s (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))) |
(*.f64 s (/.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 c (*.f64 x (*.f64 s (*.f64 x (*.f64 s c))))) |
(*.f64 c (/.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))) |
(*.f64 (*.f64 x (*.f64 s c)) (/.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 x (*.f64 s s)))) |
(*.f64 (*.f64 c c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 x s) (*.f64 x s))) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 x (*.f64 x c)))) |
(*.f64 (*.f64 s s) (/.f64 (*.f64 c (*.f64 x (*.f64 x c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s s))) (*.f64 c c)) |
(*.f64 (*.f64 x s) (*.f64 c (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) c) |
(*.f64 (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 s c)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 s (*.f64 c (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 s c) (*.f64 x (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 s c) (/.f64 (*.f64 x (*.f64 x (*.f64 s c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s c))) (*.f64 s c)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s c))) (/.f64 (*.f64 s c) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 x (*.f64 s c))) (*.f64 x c)) |
(*.f64 (*.f64 s (*.f64 x (*.f64 s c))) (/.f64 (*.f64 x c) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 s (*.f64 x (*.f64 s c)))) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 c (*.f64 x (*.f64 x c))) (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 x c)) (*.f64 s (*.f64 s c))) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s c))) (*.f64 x s)) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) (/.f64 s #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 c (*.f64 s c))) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (*.f64 c c)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x s) (*.f64 x s)) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 x (*.f64 s s))) |
(*.f64 s (*.f64 c (*.f64 x (*.f64 s c)))) |
(*.f64 c (*.f64 s (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 c c)) |
(*.f64 (*.f64 s c) (*.f64 x (*.f64 s c))) |
(*.f64 (*.f64 s (*.f64 x (*.f64 s c))) c) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s c))) s) |
(*.f64 (*.f64 s (*.f64 c (*.f64 s c))) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
Compiled 26 777 to 1 083 computations (96% saved)
42 alts after pruning (41 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 405 | 24 | 1 429 |
| Fresh | 18 | 17 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 427 | 42 | 1 469 |
| Status | Accuracy | Program |
|---|---|---|
| 79.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) | |
| 67.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x))) | |
| 96.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 s (*.f64 c x))) | |
| 61.3% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) | |
| 43.5% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) | |
| 83.1% | (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) | |
| ▶ | 98.0% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
| 90.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| ▶ | 94.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
| 84.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) | |
| 82.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c)))))) | |
| 77.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* (* c s) x) 2) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) | |
| 53.0% | (/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) | |
| 57.3% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| 55.6% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) | |
| 65.5% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| ▶ | 64.7% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
| 83.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| 89.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) | |
| 94.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) | |
| 68.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) | |
| 72.3% | #s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) | |
| 81.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) | |
| 82.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) | |
| 68.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) | |
| 80.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) | |
| 64.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) | |
| 63.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) | |
| 81.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) | |
| 49.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) | |
| ✓ | 73.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) |
| ▶ | 67.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) |
| 83.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) | |
| 79.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) | |
| 80.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) | |
| 61.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.f64 (*.f64 s s) c)))) | |
| 78.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) | |
| 79.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) | |
| 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) | |
| 71.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) | |
| 82.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) | |
| ▶ | 83.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
Compiled 1 619 to 921 computations (43.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 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 s) (*.f64 x (*.f64 s (*.f64 c x))))) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 s s)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) | |
| cost-diff | 0 | (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) | |
| cost-diff | 0 | (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) | |
| cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) | |
| cost-diff | 0 | (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 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 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
| 1 272× | associate-/r* |
| 1 134× | lower-/.f32 |
| 1 128× | lower-/.f64 |
| 414× | associate-/l/ |
| 350× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 319 |
| 0 | 68 | 319 |
| 1 | 144 | 319 |
| 2 | 356 | 319 |
| 3 | 909 | 319 |
| 4 | 1045 | 319 |
| 5 | 1045 | 319 |
| 6 | 1339 | 319 |
| 7 | 1339 | 319 |
| 0 | 1339 | 319 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) |
c |
(*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) |
(*.f64 s x) |
s |
x |
(*.f64 (*.f64 x s) c) |
(*.f64 x s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) |
(*.f64 x (*.f64 s s)) |
x |
(*.f64 s s) |
s |
(*.f64 (*.f64 x c) c) |
(*.f64 x c) |
c |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
c |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) |
(*.f64 c s) |
c |
s |
(*.f64 x (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 c x)) |
(*.f64 c x) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))) |
(*.f64 s (*.f64 c x)) |
(*.f64 x (*.f64 s c)) |
s |
(*.f64 c x) |
(*.f64 x c) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c))))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) |
(*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))) |
c |
(*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) |
(*.f64 c (*.f64 x (*.f64 x (*.f64 s s)))) |
(*.f64 s x) |
(*.f64 x s) |
s |
x |
(*.f64 (*.f64 x s) c) |
(*.f64 x (*.f64 s c)) |
(*.f64 x s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) |
(*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))) |
(*.f64 x (*.f64 s s)) |
x |
(*.f64 s s) |
s |
(*.f64 (*.f64 x c) c) |
(*.f64 x (*.f64 c c)) |
(*.f64 x c) |
c |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c))))) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) |
(*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))) |
(*.f64 s (*.f64 c x)) |
(*.f64 x (*.f64 s c)) |
s |
(*.f64 c x) |
(*.f64 x c) |
c |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) |
(*.f64 (*.f64 x c) (*.f64 x (*.f64 s (*.f64 s c)))) |
(*.f64 c s) |
(*.f64 s c) |
c |
s |
(*.f64 x (*.f64 s (*.f64 c x))) |
(*.f64 s (*.f64 x (*.f64 x c))) |
(*.f64 s (*.f64 c x)) |
(*.f64 x (*.f64 s c)) |
(*.f64 c x) |
(*.f64 x c) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15274721800160945 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) | |
| accuracy | 1.5299643199859523 | (*.f64 x (*.f64 s (*.f64 c x))) | |
| accuracy | 2.612643397696755 | (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) | |
| accuracy | 0.15274721800160945 | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) | |
| accuracy | 28.37461856370037 | #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.14830384486196127 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) | |
| accuracy | 9.390456259663505 | (*.f64 x (*.f64 s s)) | |
| accuracy | 9.678663482720294 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) | |
| accuracy | 10.861969307850893 | (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) | |
| accuracy | 3.5506788736124495 | (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) | |
| accuracy | 4.153312007791337 | (*.f64 (*.f64 x s) c) | |
| accuracy | 9.678663482720294 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) | |
| accuracy | 0.00390625 | (cos.f64 (+.f64 x x)) | |
| accuracy | 0.15274721800160945 | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) | |
| accuracy | 5.715378177071787 | (*.f64 s (*.f64 c x)) |
| 94.0ms | 256× | 0 | valid |
Compiled 280 to 42 computations (85% saved)
ival-mult: 42.0ms (62.2% of total)ival-cos: 10.0ms (14.8% of total)ival-div: 8.0ms (11.8% of total)ival-pow2: 4.0ms (5.9% of total)ival-add: 3.0ms (4.4% 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 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) (patch (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) (patch (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) (patch (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) 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 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) (patch (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 c x)) (patch (*.f64 s (*.f64 c x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c 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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.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 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.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 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.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 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c 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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) #<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 (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (* -2 x))) (taylor -inf 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 (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ()) |
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#s(alt (* c (* s x)) (taylor 0 c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x s) c) (patch (*.f64 (*.f64 x s) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor 0 c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s (pow x 2))) (taylor -inf c) (#s(alt (*.f64 x (*.f64 s (*.f64 c x))) (patch (*.f64 x (*.f64 s (*.f64 c x))) #<representation binary64>) () ())) ()) |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* (* x (* s s)) (* (* x c) c)) |
| 0.0ms | x | @ | 0 | (* x -2) |
| 0.0ms | x | @ | 0 | (+ (* x (* x -2)) 1) |
| 0.0ms | x | @ | inf | (+ (* x (* x -2)) 1) |
| 0.0ms | x | @ | inf | (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) |
| 1× | egg-herbie |
| 15 898× | lower-fma.f64 |
| 15 898× | lower-fma.f32 |
| 5 430× | lower-*.f64 |
| 5 430× | lower-*.f32 |
| 2 430× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 7106 |
| 1 | 151 | 7106 |
| 2 | 446 | 7036 |
| 3 | 1831 | 6986 |
| 4 | 4617 | 6946 |
| 5 | 6819 | 6946 |
| 0 | 8070 | 6895 |
| 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)) |
(/ (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 (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 (* 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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (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))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 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) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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) (* (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) (* (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) (* (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) (* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (pow c 2) (* (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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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) (* (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) (* (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) (* (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) (* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (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) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 2) x) |
(* (pow s 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)) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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))) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
(cos (* 2 x)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 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)) |
(* -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)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -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)) |
(/ (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 (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 (* 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)) (* (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)))) |
(/ (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)) (* (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)))) |
(/ (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)) (* (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))) |
(* (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))) |
(* (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))) |
(* (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))) |
(* (pow c 2) (* (pow s 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* 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 x)) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
(* c (* s (pow x 2))) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 x (*.f64 s (*.f64 s x))))) |
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(*.f64 (*.f64 c c) (*.f64 x (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s (*.f64 s x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s (*.f64 s x)))) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s x)) |
(*.f64 c (*.f64 s x)) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
(* c (* s (pow x 2))) |
(*.f64 x (*.f64 c (*.f64 s x))) |
| 624× | lower-*.f32 |
| 590× | lower-*.f64 |
| 496× | lower-/.f32 |
| 490× | lower-/.f64 |
| 182× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 243 |
| 0 | 68 | 215 |
| 1 | 218 | 181 |
| 0 | 1063 | 181 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x 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 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)))) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))) |
(*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)) |
(*.f64 x (*.f64 s s)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))) |
(*.f64 s (*.f64 c x)) |
(*.f64 (*.f64 x s) c) |
(*.f64 x (*.f64 s (*.f64 c x))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 x (*.f64 x s))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 s c)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 (*.f64 x c) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x (*.f64 s c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s (*.f64 x (*.f64 x s)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 s (*.f64 x (*.f64 x s))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c)))) (neg.f64 (*.f64 x (*.f64 s c)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c))) (neg.f64 (*.f64 s (*.f64 (*.f64 x c) x)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 x (*.f64 x c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x (*.f64 x s)))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 x (*.f64 s s))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x (*.f64 s s))) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 x c) x))) (*.f64 s c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s s))) (*.f64 x c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) s) (*.f64 x c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 x c)) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (*.f64 s c)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (*.f64 x (*.f64 s c))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (*.f64 x s)) (*.f64 x c)) |
(pow.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) (cos.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s c))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 s c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 x c) x)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 x s))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(cos.f64 (+.f64 x x)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 x x) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 s c))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))))) |
(/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) |
(*.f64 x (*.f64 (*.f64 s c) (*.f64 x (*.f64 s c)))) |
(*.f64 x (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 s (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
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(/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) |
(*.f64 x (*.f64 (*.f64 s c) (*.f64 x (*.f64 s c)))) |
(*.f64 x (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 s (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c)))) |
(*.f64 s (*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) c)) |
(*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) |
(*.f64 c (*.f64 (*.f64 s s) (*.f64 x (*.f64 x c)))) |
(*.f64 c (/.f64 (*.f64 (*.f64 s s) (*.f64 x (*.f64 x c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x c) (*.f64 (*.f64 x c) (*.f64 s s))) |
(*.f64 (*.f64 x c) (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))) |
(*.f64 (*.f64 x (*.f64 s c)) (/.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 x (*.f64 x s)))) |
(*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)) |
(*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c))) |
(*.f64 (*.f64 x s) (*.f64 s (*.f64 x (*.f64 c c)))) |
(*.f64 (*.f64 x s) (*.f64 c (*.f64 x (*.f64 s c)))) |
(*.f64 (*.f64 x s) (*.f64 (*.f64 x (*.f64 s c)) c)) |
(*.f64 (*.f64 s s) (*.f64 x (*.f64 x (*.f64 c c)))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 x (*.f64 s s)) (/.f64 (*.f64 x (*.f64 c c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 c c)) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 x (*.f64 c c)) (/.f64 (*.f64 x (*.f64 s s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 s c) (*.f64 s (*.f64 (*.f64 x c) x))) |
(*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) (*.f64 s c)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 s c) (*.f64 s c))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 s s)) (*.f64 x c)) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x (*.f64 x c))) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x (*.f64 x c))) (/.f64 c #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s) |
(*.f64 (*.f64 x (*.f64 x (*.f64 c c))) (*.f64 s s)) |
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (*.f64 x c)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x c)) (*.f64 x c)) |
(*.f64 (*.f64 (*.f64 s c) (*.f64 x (*.f64 s c))) x) |
(*.f64 (*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) c) s) |
(*.f64 (*.f64 (*.f64 (*.f64 x c) (*.f64 s s)) c) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 c c)) (*.f64 x s)) s) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s c))) (*.f64 x s)) |
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) c) (*.f64 x s)) |
(*.f64 x (*.f64 s c)) |
(*.f64 s (*.f64 x c)) |
(*.f64 c (*.f64 x s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 x s) c) |
(*.f64 (*.f64 s c) x) |
(*.f64 x (*.f64 s c)) |
(*.f64 s (*.f64 x c)) |
(*.f64 c (*.f64 x s)) |
(*.f64 (*.f64 x c) s) |
(*.f64 (*.f64 x s) c) |
(*.f64 (*.f64 s c) x) |
(*.f64 x (*.f64 x (*.f64 s c))) |
(*.f64 s (*.f64 (*.f64 x c) x)) |
(*.f64 s (*.f64 x (*.f64 x c))) |
(*.f64 (*.f64 x c) (*.f64 x s)) |
(*.f64 (*.f64 x (*.f64 s c)) x) |
(*.f64 (*.f64 x s) (*.f64 x c)) |
(*.f64 (*.f64 s c) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 s c)) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(*.f64 (*.f64 x (*.f64 x s)) c) |
(*.f64 (*.f64 x (*.f64 x c)) s) |
Compiled 24 546 to 851 computations (96.5% saved)
42 alts after pruning (37 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 397 | 14 | 1 411 |
| Fresh | 13 | 23 | 36 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 411 | 42 | 1 453 |
| Status | Accuracy | Program |
|---|---|---|
| 79.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) | |
| 67.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x))) | |
| 96.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 s (*.f64 c x))) | |
| 61.3% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) | |
| 83.1% | (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) | |
| 77.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (*.f64 x c))) | |
| 87.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) c) s)) | |
| ✓ | 98.0% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
| 92.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 x s) (*.f64 x c)))) | |
| ✓ | 94.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
| 57.3% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| 83.1% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| 55.6% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) | |
| 65.5% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) | |
| 63.4% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) | |
| 57.0% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) | |
| 20.9% | (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) | |
| 87.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 (*.f64 x c) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)))) | |
| 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) | |
| 94.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) | |
| 68.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) | |
| 72.3% | #s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) | |
| 81.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) | |
| 82.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) | |
| 68.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) | |
| 80.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) | |
| 71.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) | |
| 62.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c c))))) | |
| 74.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) | |
| 81.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) | |
| ✓ | 73.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) |
| ✓ | 67.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x c) c)))) |
| 83.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) | |
| 79.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) | |
| 80.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) | |
| 61.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.f64 (*.f64 s s) c)))) | |
| 78.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) | |
| 79.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) | |
| 73.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) | |
| 71.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) | |
| 82.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) | |
| ✓ | 83.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
Compiled 2 660 to 793 computations (70.2% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) #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 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c 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)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) 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 (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 x s) (*.f64 x c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) c) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (*.f64 x c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* (* c s) x) 2) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c)))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 s x) (*.f64 c s))) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s x))) (*.f64 (*.f64 c c) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x))) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 s (*.f64 c x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 s) (*.f64 (*.f64 c s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 (*.f64 x c) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s c)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 (*.f64 (*.f64 c (*.f64 s x)) s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 c c)) (*.f64 s (*.f64 s x))) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 s (*.f64 s x))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 s (*.f64 s x))) x) (*.f64 (*.f64 (*.f64 c c) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) (*.f64 (*.f64 (*.f64 c c) x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 c c) x)) (*.f64 s (*.f64 s x))) (*.f64 (*.f64 s (*.f64 s x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 c c) x)))) (*.f64 (*.f64 s (*.f64 s x)) (*.f64 s (*.f64 s x)))) |
(/.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 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) x))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
6 calls:
| 32.0ms | (/.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))) |
| 31.0ms | c |
| 30.0ms | x |
| 28.0ms | s |
| 26.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | c |
| 98.1% | 1 | s |
| 98.1% | 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))) |
| 98.1% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.1% | 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 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) #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 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c 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)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) 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 (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 x s) (*.f64 x c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s (*.f64 (*.f64 x c) x)) c) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s s)) c) (*.f64 x c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* (* c s) x) 2) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c)))))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 s x) (*.f64 c s))) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) (cos.f64 (+.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
6 calls:
| 23.0ms | c |
| 22.0ms | x |
| 22.0ms | s |
| 21.0ms | (/.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))) |
| 21.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | s |
| 98.0% | 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))) |
| 98.0% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 98.0% | 1 | c |
| 98.0% | 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 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) #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 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c 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)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) 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 (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 x s) (*.f64 x c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x))))) |
6 calls:
| 19.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 18.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 17.0ms | s |
| 17.0ms | (/.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))) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | x |
| 94.7% | 1 | c |
| 94.7% | 1 | s |
| 94.7% | 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))) |
| 94.7% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 94.7% | 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 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) #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 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c 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)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) 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 (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c)))))) |
6 calls:
| 21.0ms | x |
| 17.0ms | c |
| 16.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 16.0ms | s |
| 14.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | c |
| 88.3% | 2 | s |
| 84.6% | 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))) |
| 89.7% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 88.3% | 2 | (pow.f64 s #s(literal 2 binary64)) |
| 90.9% | 2 | 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 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 (*.f64 x 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 c s)) (*.f64 c s)))) |
#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c (*.f64 s (*.f64 x x))))))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* s (* s (* x x)))) c) c) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) #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 (/.f64 #s(literal 1 binary64) c) (*.f64 x (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 x (*.f64 x (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) (*.f64 s (*.f64 (*.f64 x c) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (*.f64 x (*.f64 x (*.f64 c 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)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x)))) (*.f64 c c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x (*.f64 c c))))) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 s c)))) (*.f64 x c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 s (*.f64 c (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) (*.f64 s c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 c c)))) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x c) (*.f64 s c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 s x)) (*.f64 c (*.f64 c s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s c)))) s) c)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 x x)))) c) c) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) c) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 x (*.f64 x (*.f64 c c))))) #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x c) (*.f64 x (*.f64 s c))) s)) |
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 s (*.f64 s (*.f64 x x)))) c) 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 (*.f64 c s)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 c s)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) x)) (*.f64 s (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
6 calls:
| 17.0ms | s |
| 16.0ms | c |
| 15.0ms | x |
| 14.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 14.0ms | (/.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 |
|---|---|---|
| 83.9% | 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))) |
| 83.9% | 1 | s |
| 83.9% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 83.9% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 83.9% | 1 | c |
| 83.9% | 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 s 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 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x (*.f64 x c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (* x (* s (* c (* c s)))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 c (*.f64 (*.f64 c s) s)) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 c (*.f64 c s))) s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 x x)) (*.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 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 s (*.f64 x x)) (*.f64 c (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 (*.f64 s (*.f64 c x)) x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x c) (*.f64 s (*.f64 x (*.f64 s c)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c (*.f64 s (*.f64 c x)))) s))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
6 calls:
| 6.0ms | x |
| 5.0ms | s |
| 5.0ms | c |
| 4.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 4.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 1 | c |
| 83.7% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 83.7% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 83.7% | 1 | x |
| 83.7% | 1 | s |
| 83.7% | 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))) |
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 s x) (*.f64 s (*.f64 c x)))))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) |
6 calls:
| 2.0ms | c |
| 1.0ms | s |
| 1.0ms | x |
| 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 |
|---|---|---|
| 82.2% | 1 | s |
| 82.2% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 82.2% | 1 | c |
| 82.2% | 1 | x |
| 82.2% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 82.2% | 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))) |
Compiled 43 to 31 computations (27.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0272110690183467e-40 | 3.4121355667497704e-31 |
| 11.0ms | 144× | 0 | valid |
Compiled 364 to 225 computations (38.2% saved)
ival-mult: 3.0ms (40.4% of total)ival-pow2: 2.0ms (27% of total)ival-div: 1.0ms (13.5% of total)ival-cos: 1.0ms (13.5% 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× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.436149568486758e-20 | 1.893054637418036e-16 |
| 10.0ms | 128× | 0 | valid |
Compiled 326 to 202 computations (38% saved)
ival-mult: 3.0ms (45.4% of total)ival-pow2: 2.0ms (30.3% of total)ival-div: 1.0ms (15.1% of total)ival-cos: 1.0ms (15.1% 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 |
| 32× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 222 |
| 1 | 72 | 222 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(if (<=.f64 x #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(if (<=.f64 x #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 s (*.f64 c x)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c x))) (*.f64 s (*.f64 c x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 x c))) (*.f64 s (*.f64 x c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x c)) (*.f64 s (*.f64 x c)))) |
(if (<=.f64 x #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) (*.f64 x (*.f64 s (*.f64 c x)))))) |
(if (<=.f64 x #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x s) (*.f64 c (*.f64 x s)))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s (*.f64 x c))) (*.f64 s c)))) |
(if (<=.f64 x #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
(if (<=.f64 x #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x s) (*.f64 c (*.f64 x s)))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 s c))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 x s) c))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 x s) (*.f64 c (*.f64 x s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s 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 c (*.f64 (*.f64 s (*.f64 x c)) (*.f64 x s))))) |
| 15 610× | lower-fma.f64 |
| 15 610× | lower-fma.f32 |
| 5 362× | lower-*.f64 |
| 5 362× | lower-*.f32 |
| 4 664× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 246 |
| 0 | 74 | 226 |
| 1 | 235 | 196 |
| 0 | 1165 | 196 |
| 0 | 50 | 1476 |
| 1 | 117 | 1476 |
| 2 | 383 | 1462 |
| 3 | 1957 | 1452 |
| 4 | 4755 | 1444 |
| 5 | 6901 | 1444 |
| 0 | 8120 | 1432 |
| 0 | 12 | 49 |
| 0 | 20 | 49 |
| 1 | 55 | 49 |
| 2 | 217 | 45 |
| 3 | 1946 | 39 |
| 0 | 8396 | 39 |
| 0 | 45 | 284 |
| 0 | 75 | 244 |
| 1 | 259 | 222 |
| 0 | 1422 | 222 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 868 to 351 computations (59.6% saved)
(abs c)
(abs s)
(sort c s)
(abs x)
Compiled 1 468 to 640 computations (56.4% saved)
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