
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 5 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 6 |
| 42.2% | 42.1% | 57.7% | 0.1% | 0% | 0% | 0% | 7 |
| 49.2% | 49.1% | 50.7% | 0.1% | 0% | 0% | 0% | 8 |
| 57.4% | 57.3% | 42.5% | 0.1% | 0% | 0% | 0% | 9 |
| 67% | 66.9% | 33% | 0.1% | 0% | 0% | 0% | 10 |
| 71.8% | 71.7% | 28.2% | 0.1% | 0% | 0% | 0% | 11 |
| 76.9% | 76.8% | 23.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 301.0ms (34.9% of total)ival-mult: 259.0ms (30.1% of total)ival-pow2: 171.0ms (19.8% of total)ival-div: 115.0ms (13.3% of total)ival-true: 7.0ms (0.8% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% 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)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 0 | - | 1 | (2.272739165646187e-100 4.584377941848624e-156 1.2283065200094477e+220) | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 33 | 0 | - | 1 | (1.256844071063696e+44 9.220786198349925e-297 3.420763041571209e-157) | (*.f64 x (pow.f64 s #s(literal 2 binary64))) |
| 15 | 0 | - | 1 | (4.363129401256722e+168 7.082237588339399e-306 1.6535165181862754e-240) | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| 1 | 0 | - | 0 | - | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 0 | 0 | - | 0 | - | (pow.f64 c #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 110 | (2.4762675730267197e+165 6.177208982650225e+135 1.5417433179626087e+242) | 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 | 110 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 34 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 127 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 94 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 89 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 96 | |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*o | 26 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*u | 15 | 0 |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*o | 13 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*o | 8 | 0 |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*u | 6 | 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 | 1 | 0 |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 94 | |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 10 | |
| ↳ | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | overflow | 69 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 89 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 96 | |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 0 |
| - | 84 | 90 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 0 | 0 |
| - | 84 | 0 | 90 |
| number | freq |
|---|---|
| 0 | 90 |
| 1 | 121 |
| 2 | 42 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 154 to 52 computations (66.2% saved)
ival-mult: 13.0ms (33.4% of total)ival-cos: 10.0ms (25.7% of total)ival-pow2: 10.0ms (25.7% of total)ival-div: 5.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.7% | (/.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 | 99.6% | (/.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 | 94.7% | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| ✓ | accuracy | 88.2% | (*.f64 x (pow.f64 s #s(literal 2 binary64))) |
| ✓ | accuracy | 80.0% | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 43.0ms | 256× | 0 | valid |
Compiled 58 to 14 computations (75.9% saved)
ival-mult: 6.0ms (34.2% of total)ival-cos: 5.0ms (28.5% of total)ival-pow2: 5.0ms (28.5% of total)ival-div: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (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>) () ())) ()) |
#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>) () ())) ()) |
#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 | |
|---|---|---|---|---|
| 3.0ms | c | @ | 0 | (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) |
| 2.0ms | s | @ | inf | (* (* 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))) |
| 2.0ms | s | @ | 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 (*.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 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 (*.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 #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))) |
| 1× | batch-egg-rewrite |
| 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 2 413 computations (91.4% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 814 | 19 | 833 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 815 | 19 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| 78.5% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s) | |
| ▶ | 72.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| 92.9% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) x) | |
| 93.0% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) | |
| ▶ | 71.3% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
| ▶ | 97.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
| 78.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) | |
| ▶ | 72.1% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
| 94.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s))) | |
| 93.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) | |
| 85.6% | (/.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))))))) | |
| 92.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) | |
| 76.7% | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)) | |
| 92.9% | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x)) | |
| 93.4% | (*.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))) | |
| 44.4% | #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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) | |
| 55.1% | #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))) | |
| 55.5% | #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))) | |
| ▶ | 76.7% | #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 816 to 480 computations (41.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 s) (*.f64 (*.f64 x x) c))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x 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 c) (*.f64 s (*.f64 s (*.f64 x 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)) |
| 1 134× | associate-/r* |
| 756× | lower-/.f32 |
| 748× | lower-/.f64 |
| 330× | lower-*.f32 |
| 298× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 293 |
| 0 | 66 | 269 |
| 1 | 131 | 257 |
| 2 | 292 | 257 |
| 3 | 658 | 257 |
| 4 | 966 | 257 |
| 5 | 966 | 257 |
| 6 | 980 | 257 |
| 0 | 980 | 257 |
| 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 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 c c) |
c |
(*.f64 s (*.f64 s (*.f64 x x))) |
s |
(*.f64 s (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.f64 x x) |
c |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.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 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c 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 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c 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 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s)))))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s))))) |
x |
(*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
(*.f64 c (*.f64 s (*.f64 x (*.f64 c s)))) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 c (*.f64 s (*.f64 c s))) |
s |
(*.f64 c (*.f64 c s)) |
c |
(*.f64 c s) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s)))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s))))) |
(*.f64 c c) |
c |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 s (*.f64 x s))) |
s |
(*.f64 s (*.f64 x x)) |
(*.f64 x (*.f64 x s)) |
(*.f64 x x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c 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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s))))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 x (*.f64 s (*.f64 x (*.f64 c s)))) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.f64 x (*.f64 x c)) |
(*.f64 x x) |
c |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c (*.f64 s (*.f64 x (*.f64 c s)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 s (*.f64 x (*.f64 c s))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 x (*.f64 s (*.f64 x (*.f64 c s)))) |
(*.f64 s s) |
s |
(*.f64 (*.f64 x x) c) |
(*.f64 x (*.f64 x c)) |
(*.f64 x x) |
c |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
| ✓ | accuracy | 95.3% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| ✓ | accuracy | 89.9% | (*.f64 (*.f64 x x) c) |
| ✓ | accuracy | 78.4% | (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
| ✓ | accuracy | 89.9% | (*.f64 (*.f64 x x) c) |
| ✓ | accuracy | 78.4% | (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
| ✓ | accuracy | 96.6% | (*.f64 s (*.f64 s (*.f64 x x))) |
| ✓ | accuracy | 88.1% | (*.f64 s (*.f64 x x)) |
| ✓ | accuracy | 80.0% | (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
| ✓ | accuracy | 95.3% | (*.f64 x (*.f64 x (*.f64 s (*.f64 c (*.f64 c s))))) |
| ✓ | accuracy | 93.5% | (*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
| ✓ | accuracy | 93.4% | (*.f64 s (*.f64 c (*.f64 c s))) |
| ✓ | accuracy | 82.9% | #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 | 100.0% | (cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
| ✓ | accuracy | 92.5% | (*.f64 (*.f64 c s) x) |
| 108.0ms | 256× | 0 | valid |
Compiled 281 to 39 computations (86.1% saved)
ival-mult: 29.0ms (48.9% of total)ival-div: 11.0ms (18.6% of total)ival-cos: 11.0ms (18.6% of total)ival-pow2: 7.0ms (11.8% of total)ival-add: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x 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 c c) (*.f64 s (*.f64 s (*.f64 x x)))) (patch (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) (patch (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) #<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 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>) () ()) |
#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>) () ()) |
| 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf 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>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf 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>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (* c (pow x 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (pow x 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 x x) c) (patch (*.f64 (*.f64 x x) c) #<representation binary64>) () ())) ()) |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | (+ x x) |
| 4.0ms | x | @ | inf | (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) |
| 1.0ms | x | @ | -inf | (/ (cos (+ x x)) (* (* c c) (* s (* s (* x x))))) |
| 1.0ms | s | @ | 0 | (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) |
| 1.0ms | c | @ | inf | (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) |
| 1× | egg-herbie |
| 28 530× | lower-fma.f64 |
| 28 530× | lower-fma.f32 |
| 6 586× | lower-*.f64 |
| 6 586× | lower-*.f32 |
| 3 016× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 7476 |
| 1 | 209 | 7476 |
| 2 | 647 | 7396 |
| 3 | 2606 | 7340 |
| 4 | 4636 | 7340 |
| 0 | 8270 | 7292 |
| 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))) |
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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) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(* (pow c 2) (* (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 (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 (* (pow s 2) (pow x 2)))) |
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2)) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (neg (* -2 x))) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* c (* (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)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 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)) |
(* 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))) |
(* 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)) |
(* 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)) |
| Outputs |
|---|
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 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 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s))))) (*.f64 x x)) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 x #s(literal -2 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
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(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(* c (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 s (*.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)) |
(* 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)) |
(* c (pow x 2)) |
(*.f64 c (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 562× | lower-*.f32 |
| 530× | lower-*.f64 |
| 390× | lower-/.f32 |
| 382× | lower-/.f64 |
| 102× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 218 |
| 0 | 66 | 194 |
| 1 | 206 | 168 |
| 0 | 939 | 168 |
| 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 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) |
(*.f64 (*.f64 c s) x) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 s (*.f64 x x)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) |
(*.f64 (*.f64 x x) c) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 c (*.f64 s x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))))) |
(/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 c (*.f64 s x)))) #s(literal 2 binary64)) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
(*.f64 s (*.f64 (*.f64 s (*.f64 x x)) (*.f64 c c))) |
(*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) |
(*.f64 s (*.f64 (*.f64 s (*.f64 c (*.f64 x x))) c)) |
(*.f64 (*.f64 c s) (*.f64 s (*.f64 c (*.f64 x x)))) |
(*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))) |
(*.f64 (*.f64 c s) (*.f64 x (*.f64 c (*.f64 s x)))) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s (*.f64 s x))))) |
(*.f64 x (/.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) |
(*.f64 (*.f64 s (*.f64 s x)) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 c (*.f64 c s)) (*.f64 s (*.f64 x x))) |
(*.f64 (*.f64 c (*.f64 s (*.f64 c s))) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x) |
(*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 c (*.f64 s (*.f64 c s))) #s(literal 1 binary64))) |
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 c (*.f64 c s))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (*.f64 c c)) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 c (*.f64 x x)))) |
(*.f64 (*.f64 c (*.f64 x x)) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) c) |
(*.f64 (*.f64 s x) (*.f64 (*.f64 c (*.f64 c s)) x)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 x x))) (*.f64 s s)) |
(*.f64 (exp.f64 (log.f64 (*.f64 c (*.f64 s x)))) (exp.f64 (log.f64 (*.f64 c (*.f64 s x))))) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x x)) s) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 s (*.f64 x x))) s) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s 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 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (neg.f64 c))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c))) c)) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (cos.f64 (+.f64 x x))) 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 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (neg.f64 (neg.f64 c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c))) (neg.f64 c)) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (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 s s)) (*.f64 c (*.f64 c (*.f64 x x)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) #s(literal 1 binary64)) (*.f64 c (*.f64 c (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c (*.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 c (*.f64 c (*.f64 s (*.f64 s x))))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 s (*.f64 s x))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s (*.f64 s x))) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) s) (*.f64 s (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s (*.f64 x x))) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x x)) |
(pow.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.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 c (*.f64 c (*.f64 x x))))))) |
(*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x)))))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) (neg.f64 x)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c))) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x 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))) |
#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 c (*.f64 x x))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x)))))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 c (*.f64 s x)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 c (*.f64 x x))))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 x x))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x 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 s s)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 c (*.f64 x x))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s))) (neg.f64 (*.f64 c (*.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 x x)))) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (*.f64 s (*.f64 c (*.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 x x))) (*.f64 s s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) c) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) x) (*.f64 c x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 x x)) c) |
(pow.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.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 c (*.f64 x x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 s (*.f64 x x))) (neg.f64 c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 s x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 c (*.f64 s 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 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 c (*.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c (*.f64 s 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 (*.f64 c s)) s) |
(*.f64 (*.f64 c c) (*.f64 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) |
(*.f64 s (*.f64 x x)) |
(*.f64 x (*.f64 s x)) |
(*.f64 (*.f64 x x) s) |
(*.f64 (*.f64 s x) x) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(*.f64 s (*.f64 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 (*.f64 x x)) s) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 (*.f64 s x) (*.f64 s x)) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 x x)))) |
(*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) |
(*.f64 (*.f64 c s) (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 c x) (*.f64 s s))) |
(*.f64 (*.f64 s (*.f64 s x)) (*.f64 c x)) |
(*.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) |
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 c s)) |
(*.f64 (*.f64 s (*.f64 s (*.f64 x x))) c) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 c (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 s (*.f64 c (*.f64 x x))) s) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 s (*.f64 x x))) s) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) |
(*.f64 c (*.f64 x x)) |
(*.f64 x (*.f64 c x)) |
(*.f64 (*.f64 x x) c) |
(*.f64 (*.f64 c x) x) |
Compiled 23 275 to 892 computations (96.2% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 309 | 34 | 1 343 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 321 | 41 | 1 362 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| ▶ | 98.2% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
| 97.2% | (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 78.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s)) | |
| 93.0% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s))) | |
| 92.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) | |
| 79.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) c)) | |
| ▶ | 97.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
| ✓ | 71.3% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
| 95.0% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) | |
| 97.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) | |
| 94.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 c (*.f64 s x)) s))) | |
| 85.6% | (/.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))))))) | |
| 41.4% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) | |
| 52.4% | (/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| 52.4% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| 65.7% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| 43.6% | (/.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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) | |
| 64.7% | (/.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))) | |
| 46.1% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) | |
| 81.2% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 92.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) | |
| 93.4% | (*.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))) | |
| 45.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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))) | |
| ▶ | 55.1% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) |
| 70.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) | |
| 82.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) | |
| 72.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) | |
| 74.8% | #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 s (*.f64 s x)))))) | |
| 55.5% | #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))) | |
| 79.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) | |
| ▶ | 80.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
| 70.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) | |
| 82.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) | |
| 74.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) | |
| 74.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) | |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c 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)))) | |
| 77.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 c s) (*.f64 c s)))))) | |
| 67.0% | #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 c (*.f64 x x))))))) | |
| ▶ | 81.3% | #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 c (*.f64 s x)))))) |
Compiled 1 628 to 920 computations (43.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s 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 (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) |
| ✓ | cost-diff | 320 | (*.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))))) |
| ✓ | cost-diff | 384 | (/.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)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 c (*.f64 s x)) c) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
| ✓ | cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s 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 c (*.f64 s 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 c (*.f64 s x))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
| 7 704× | lower-fma.f32 |
| 7 702× | lower-fma.f64 |
| 5 002× | lower-/.f32 |
| 4 990× | lower-/.f64 |
| 4 012× | lower-*.f32 |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 351 |
| 0 | 72 | 351 |
| 1 | 147 | 345 |
| 2 | 364 | 345 |
| 3 | 1037 | 345 |
| 4 | 3107 | 345 |
| 5 | 3839 | 345 |
| 6 | 3862 | 345 |
| 7 | 3866 | 345 |
| 8 | 3866 | 345 |
| 9 | 4946 | 345 |
| 10 | 6424 | 343 |
| 11 | 6519 | 343 |
| 12 | 6599 | 343 |
| 13 | 6686 | 343 |
| 14 | 6754 | 343 |
| 15 | 6762 | 343 |
| 16 | 6762 | 343 |
| 0 | 8527 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 c (*.f64 s x)) |
c |
(*.f64 s 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 c (*.f64 s x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
c |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))) |
(*.f64 s x) |
s |
x |
(*.f64 c (*.f64 s x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
(*.f64 (*.f64 c (*.f64 s x)) c) |
(*.f64 c (*.f64 s x)) |
c |
(*.f64 s x) |
s |
x |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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 (*.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 (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))))) |
(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 #s(literal 1 binary64) (*.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 x x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) |
(*.f64 c (*.f64 s x)) |
c |
(*.f64 s x) |
s |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 c (*.f64 s x)) |
(*.f64 x (*.f64 c s)) |
c |
(*.f64 s x) |
(*.f64 x s) |
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 c (*.f64 s x)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(literal 1 binary64) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
(*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))) |
c |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))) |
(*.f64 x (*.f64 c (*.f64 s (*.f64 x s)))) |
(*.f64 s x) |
(*.f64 x s) |
s |
x |
(*.f64 c (*.f64 s x)) |
(*.f64 x (*.f64 c s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
(*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))) |
(*.f64 (*.f64 c (*.f64 s x)) c) |
(*.f64 c (*.f64 x (*.f64 c s))) |
(*.f64 c (*.f64 s x)) |
(*.f64 x (*.f64 c s)) |
c |
(*.f64 s x) |
(*.f64 x s) |
s |
x |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))))) |
(/.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))))) |
(*.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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 c (*.f64 c (*.f64 s s)))) |
(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 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 c s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) |
(*.f64 s (*.f64 c (*.f64 c s))) |
(*.f64 c (*.f64 c (*.f64 s s))) |
s |
(*.f64 c (*.f64 c s)) |
c |
(*.f64 c s) |
(*.f64 x x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) |
(*.f64 x (*.f64 x (*.f64 c (*.f64 c (*.f64 s s))))) |
(*.f64 c (*.f64 s x)) |
(*.f64 x (*.f64 c s)) |
c |
(*.f64 s x) |
(*.f64 x s) |
s |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (+.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
| ✓ | accuracy | 95.0% | (*.f64 c (*.f64 s x)) |
| ✓ | accuracy | 93.4% | (*.f64 s (*.f64 c (*.f64 c s))) |
| ✓ | accuracy | 90.9% | (*.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))))) |
| ✓ | accuracy | 73.1% | (/.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)) |
| ✓ | accuracy | 71.0% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) |
| ✓ | accuracy | 98.4% | (*.f64 (*.f64 c (*.f64 s x)) c) |
| ✓ | accuracy | 95.0% | (*.f64 c (*.f64 s x)) |
| ✓ | accuracy | 93.0% | (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
| ✓ | accuracy | 82.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
| ✓ | accuracy | 95.5% | (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
| ✓ | accuracy | 95.0% | (*.f64 c (*.f64 s x)) |
| ✓ | accuracy | 82.9% | #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 c (*.f64 s x)))))) |
| ✓ | accuracy | 100.0% | (cos.f64 (+.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
| ✓ | accuracy | 99.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) |
| ✓ | accuracy | 95.0% | (*.f64 c (*.f64 s x)) |
| 84.0ms | 256× | 0 | valid |
Compiled 307 to 45 computations (85.3% saved)
ival-mult: 28.0ms (46% of total)ival-div: 14.0ms (23% of total)ival-cos: 10.0ms (16.4% of total)ival-pow2: 4.0ms (6.6% of total)ival-add: 3.0ms (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 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s 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 c (*.f64 s 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 c (*.f64 s x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) (patch (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 s x) (*.f64 c (*.f64 s 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 c (*.f64 s x)) c) (*.f64 s x)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) (patch (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 s x)) c) (patch (*.f64 (*.f64 c (*.f64 s x)) c) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) (patch #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) #<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 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ()) |
#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s 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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (*.f64 s (*.f64 c (*.f64 c s))) (patch (*.f64 s (*.f64 c (*.f64 c s))) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | s | @ | inf | (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) |
| 1.0ms | x | @ | -inf | (/ (cos (+ x x)) (* c (* s x))) |
| 1.0ms | x | @ | inf | (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) |
| 1.0ms | x | @ | inf | (* (* c (* s x)) c) |
| 1.0ms | s | @ | 0 | (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) |
| 1× | egg-herbie |
| 27 518× | lower-fma.f64 |
| 27 518× | lower-fma.f32 |
| 6 832× | lower-*.f64 |
| 6 832× | lower-*.f32 |
| 3 292× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 8594 |
| 1 | 222 | 8594 |
| 2 | 695 | 8518 |
| 3 | 2630 | 8068 |
| 4 | 4821 | 7764 |
| 0 | 8741 | 7685 |
| 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)))) |
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/ (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 (* -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)) |
(/ 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)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
(* (pow c 2) (pow s 2)) |
| Outputs |
|---|
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 s (*.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 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s)))) |
(/ (+ (* (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 (*.f64 x 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 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 c (*.f64 s (*.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 (*.f64 x x) (*.f64 c s)) (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 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))) |
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(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x 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)) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
(* (pow c 2) (pow s 2)) |
(*.f64 c (*.f64 c (*.f64 s s))) |
| 1× | batch-egg-rewrite |
| 928× | lower-*.f32 |
| 902× | lower-*.f64 |
| 844× | lower-/.f32 |
| 832× | lower-/.f64 |
| 224× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 275 |
| 0 | 72 | 233 |
| 1 | 252 | 199 |
| 0 | 1426 | 199 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)) |
(*.f64 (*.f64 c (*.f64 s x)) c) |
(/.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 (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))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) |
(*.f64 c (*.f64 s x)) |
(*.f64 s (*.f64 c (*.f64 c s))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (*.f64 (*.f64 x s) (neg.f64 c)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (neg.f64 c))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (neg.f64 c))) (*.f64 x (*.f64 c s)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) c)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (*.f64 x (*.f64 c s))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (neg.f64 (*.f64 (*.f64 x s) (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (cos.f64 (+.f64 x x))) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x s) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 s (*.f64 x (*.f64 x s))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (neg.f64 (neg.f64 c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (neg.f64 c))) (*.f64 (*.f64 x s) (neg.f64 c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) (neg.f64 c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 (*.f64 x (*.f64 c s)) (cos.f64 (+.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) (cos.f64 (+.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s (*.f64 x (*.f64 x s)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (*.f64 c (*.f64 c (*.f64 x x)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s)) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) #s(literal 1 binary64)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 x x)) c)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c)))) (neg.f64 (*.f64 x s))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 s (*.f64 x (*.f64 x s))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) (*.f64 (*.f64 x s) (*.f64 c c))) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) #s(literal 1 binary64)) (*.f64 x (*.f64 c s))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s)))) (*.f64 x s)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) |
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s s)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c (*.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (*.f64 x s)) c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (*.f64 c s)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c))) x) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c))) s) x) |
(/.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 (*.f64 c c) (*.f64 x (*.f64 s s)))) 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) |
(pow.f64 (/.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))) (cos.f64 (+.f64 x x))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c)))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (neg.f64 c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (neg.f64 c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s)))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (*.f64 x s))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 x (*.f64 x s))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 x s))) |
(*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 (*.f64 x s) (*.f64 c c))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) x)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 c s))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 c s)))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x s) (neg.f64 c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 c s)) (cos.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 c s)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x s) (/.f64 (cos.f64 (+.f64 x x)) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 c s)) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 x s) (neg.f64 c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 x s)) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 c s))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (*.f64 x s) (neg.f64 c)))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) c)) (neg.f64 (*.f64 x s))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x s)) c) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) x) s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) s) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 c s)) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s)))) |
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(*.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 c (*.f64 c (*.f64 x x))) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 (*.f64 x s) (*.f64 c c)) x) s) |
(*.f64 x (*.f64 c s)) |
(*.f64 c (*.f64 x s)) |
(*.f64 s (*.f64 x c)) |
(*.f64 (*.f64 x s) c) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 x c) s) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s (*.f64 c s))))) |
(/.f64 (*.f64 c (*.f64 s (*.f64 c s))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c s)) (neg.f64 s)) #s(literal -1 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 s (/.f64 (*.f64 c (*.f64 c s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 s s)) |
(*.f64 (*.f64 c s) (*.f64 c s)) |
(*.f64 (*.f64 c s) (/.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 c s)) s) |
(*.f64 (*.f64 c (*.f64 c s)) (/.f64 s #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 s (*.f64 c s))) #s(literal 1 binary64)) |
(*.f64 (*.f64 s s) (*.f64 c c)) |
(*.f64 (*.f64 s (*.f64 c s)) c) |
(*.f64 (*.f64 (*.f64 c s) s) c) |
Compiled 25 444 to 1 130 computations (95.6% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 381 | 23 | 1 404 |
| Fresh | 25 | 9 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 410 | 35 | 1 445 |
| Status | Accuracy | Program |
|---|---|---|
| 95.0% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s))) x) | |
| 84.3% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) (neg.f64 c)) | |
| ✓ | 72.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| 82.8% | (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) | |
| 95.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s)) x)) | |
| 96.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 c (*.f64 s x)))) | |
| 95.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c (*.f64 s x)))) | |
| ▶ | 71.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
| 90.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c))) | |
| ▶ | 97.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) |
| 61.3% | (/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s x))) | |
| 63.4% | (/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) | |
| 52.4% | (/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| 65.6% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) | |
| 65.8% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) | |
| 93.4% | (*.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))) | |
| 54.0% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) | |
| 53.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x x))) | |
| 55.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) | |
| ▶ | 25.3% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
| 70.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) | |
| ▶ | 78.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
| 74.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) | |
| 72.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) | |
| ✓ | 80.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
| ▶ | 81.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
| 70.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c 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)))) | |
| 77.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 c s) (*.f64 c s)))))) | |
| 76.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) | |
| 67.0% | #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 c (*.f64 x x))))))) | |
| 79.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) | |
| ✓ | 81.3% | #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 c (*.f64 s x)))))) |
| 81.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
Compiled 1 311 to 731 computations (44.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) 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 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) |
| ✓ | cost-diff | 0 | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) c) s) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 c s)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.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 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 c (*.f64 s s))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s 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 x) s) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 5504 | (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) |
| 8 772× | lower-fma.f64 |
| 8 772× | lower-fma.f32 |
| 3 220× | lower-/.f32 |
| 3 208× | lower-/.f64 |
| 3 182× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 335 |
| 0 | 89 | 307 |
| 1 | 188 | 283 |
| 2 | 427 | 283 |
| 3 | 1297 | 283 |
| 4 | 3898 | 283 |
| 5 | 6380 | 283 |
| 6 | 6415 | 283 |
| 7 | 6421 | 283 |
| 8 | 6421 | 283 |
| 9 | 6433 | 283 |
| 10 | 6433 | 283 |
| 11 | 6433 | 283 |
| 0 | 8809 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #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 x) s) #s(literal 2 binary64)) |
(*.f64 (*.f64 c x) s) |
(*.f64 c x) |
c |
s |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) |
(/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) |
#s(literal -2 binary64) |
(*.f64 c (*.f64 c (*.f64 s s))) |
c |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
(*.f64 x (*.f64 c s)) |
x |
(*.f64 c s) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) s) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
s |
(*.f64 (*.f64 x c) (*.f64 x s)) |
(*.f64 x c) |
x |
(*.f64 x s) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
(*.f64 c c) |
c |
(*.f64 x (*.f64 s s)) |
(*.f64 s s) |
s |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c)))))) |
(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 x) s) #s(literal 2 binary64)) |
(*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c))))) |
(*.f64 (*.f64 c x) s) |
(*.f64 x (*.f64 c s)) |
(*.f64 c x) |
(*.f64 x c) |
c |
s |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) |
(/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) |
#s(literal -2 binary64) |
(*.f64 c (*.f64 c (*.f64 s s))) |
c |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.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 s (*.f64 x (*.f64 x c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c)))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
(*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c))))) |
(*.f64 x (*.f64 c s)) |
x |
(*.f64 c s) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x 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 c (*.f64 s (*.f64 x (*.f64 x c))))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) |
(/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) s) |
(/.f64 #s(literal 1 binary64) (*.f64 c s)) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
s |
(*.f64 (*.f64 x c) (*.f64 x s)) |
(*.f64 s (*.f64 x (*.f64 x c))) |
(*.f64 x c) |
x |
(*.f64 x s) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c)))))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x) |
(*.f64 s (*.f64 c (*.f64 s (*.f64 x (*.f64 x c))))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x c)) |
(*.f64 c c) |
c |
(*.f64 x (*.f64 s s)) |
(*.f64 s s) |
s |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
| ✓ | accuracy | 95.3% | (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x) |
| ✓ | accuracy | 88.2% | (*.f64 x (*.f64 s s)) |
| ✓ | accuracy | 78.9% | (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) c) s) |
| ✓ | accuracy | 97.5% | (*.f64 (*.f64 x c) (*.f64 x s)) |
| ✓ | accuracy | 93.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) |
| ✓ | accuracy | 82.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
| ✓ | accuracy | 92.5% | (*.f64 x (*.f64 c s)) |
| ✓ | accuracy | 82.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
| ✓ | accuracy | 96.2% | (*.f64 c (*.f64 c (*.f64 s s))) |
| ✓ | accuracy | 87.8% | (*.f64 c (*.f64 s s)) |
| ✓ | accuracy | 71.0% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
| ✓ | accuracy | 50.2% | #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) |
| ✓ | accuracy | 90.5% | (*.f64 (*.f64 c x) s) |
| 139.0ms | 256× | 0 | valid |
Compiled 267 to 54 computations (79.8% saved)
ival-mult: 59.0ms (50% of total)ival-div: 39.0ms (33% of total)ival-cos: 9.0ms (7.6% of total)ival-pow2: 8.0ms (6.8% of total)ival-add: 2.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #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 x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #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 (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) (patch #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) (patch #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 c (*.f64 s s))) (patch (*.f64 c (*.f64 c (*.f64 s s))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) (patch (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 c s)) (patch (*.f64 x (*.f64 c s)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) c) s) (patch (/.f64 (/.f64 #s(literal 1 binary64) c) s) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) 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 (*.f64 c c) (*.f64 x (*.f64 s s))) x) (patch (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c x) s) (patch (*.f64 (*.f64 c x) s) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 s s)) (patch (*.f64 c (*.f64 s s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x c) (*.f64 x s)) (patch (*.f64 (*.f64 x c) (*.f64 x s)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) (patch (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<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)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #<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)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #<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)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #<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)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #<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)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ()) |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | c | @ | inf | (/ -2 (* c (* c (* s s)))) |
| 2.0ms | s | @ | 0 | (/ -2 (* c (* c (* s s)))) |
| 1.0ms | s | @ | inf | (/ -2 (* c (* c (* s s)))) |
| 1.0ms | c | @ | 0 | (/ (/ 1 c) s) |
| 1.0ms | c | @ | 0 | (* (* x c) (* x s)) |
| 1× | egg-herbie |
| 15 538× | lower-fma.f64 |
| 15 538× | lower-fma.f32 |
| 5 576× | lower-*.f64 |
| 5 576× | lower-*.f32 |
| 2 502× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 8002 |
| 1 | 160 | 8002 |
| 2 | 462 | 7932 |
| 3 | 1909 | 7864 |
| 4 | 4178 | 7824 |
| 5 | 6569 | 7824 |
| 0 | 8209 | 7755 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ 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 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 1 (* c s)) |
(/ 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 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 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))) |
(* 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 (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 2)) |
(* c (pow s 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))) |
(* c (* s (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)) |
(* (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) |
| Outputs |
|---|
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.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)))) |
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(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x x))))) |
(* (pow c 2) (* (pow s 2) (pow x 2))) |
(*.f64 c (*.f64 c (*.f64 s (*.f64 s (*.f64 x 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 (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (pow s 2)) |
(*.f64 c (*.f64 s s)) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* c (* s (pow x 2))) |
(*.f64 c (*.f64 s (*.f64 x x))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s s)))) |
(* (pow c 2) (* (pow s 2) x)) |
(*.f64 x (*.f64 c (*.f64 c (*.f64 s 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)) |
| 1× | batch-egg-rewrite |
| 1 060× | lower-*.f32 |
| 1 028× | lower-*.f64 |
| 978× | lower-/.f32 |
| 966× | lower-/.f64 |
| 228× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 296 |
| 0 | 89 | 264 |
| 1 | 316 | 226 |
| 0 | 1689 | 224 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s))))) |
(/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))) |
(*.f64 c (*.f64 c (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
(*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
(*.f64 x (*.f64 c s)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
(/.f64 #s(literal 1 binary64) c) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x) |
(*.f64 (*.f64 c x) s) |
(*.f64 c (*.f64 s s)) |
(*.f64 (*.f64 x c) (*.f64 x s)) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) |
(*.f64 x (*.f64 s s)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 c (*.f64 x s))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 s (*.f64 c (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 c s))) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 s (*.f64 c (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 c s))) |
(/.f64 (/.f64 (*.f64 s (*.f64 c (*.f64 x x))) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal 1 binary64) s)) |
(pow.f64 (*.f64 c (*.f64 x s)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 c (*.f64 x s)))) #s(literal 2 binary64)) |
(*.f64 c (*.f64 s (*.f64 s (*.f64 c (*.f64 x x))))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 x (*.f64 s s))) x)) |
(*.f64 x (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s))) |
(*.f64 x (/.f64 (*.f64 c (*.f64 x s)) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) |
(*.f64 x (/.f64 (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s)) #s(literal 1 binary64))) |
(*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 x s)))) |
(*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))) |
(*.f64 (*.f64 c (*.f64 x x)) (/.f64 s (/.f64 #s(literal 1 binary64) (*.f64 c s)))) |
(*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) c) |
(*.f64 (*.f64 s (*.f64 c (*.f64 c s))) (*.f64 x x)) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c))) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 s s))) (*.f64 c c)) |
(*.f64 (*.f64 c s) (*.f64 s (*.f64 c (*.f64 x x)))) |
(*.f64 (*.f64 c (*.f64 x s)) (*.f64 c (*.f64 x s))) |
(*.f64 (*.f64 c (*.f64 x s)) (/.f64 (*.f64 c (*.f64 x s)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 c x) (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 (*.f64 c x) (*.f64 s (*.f64 c (*.f64 x s)))) |
(*.f64 (*.f64 c x) (/.f64 (*.f64 x s) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) |
(*.f64 (*.f64 x s) (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) (*.f64 c s)))) |
(*.f64 (*.f64 s (*.f64 c (*.f64 x x))) (*.f64 c s)) |
(*.f64 (*.f64 s (*.f64 c (*.f64 x x))) (/.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 x (*.f64 x (*.f64 s s)))) |
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 c (*.f64 c x))) |
(*.f64 (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s)) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c c)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c c)) (/.f64 (*.f64 s s) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 c x)) (*.f64 x (*.f64 s s))) |
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(*.f64 (exp.f64 (log.f64 (*.f64 c (*.f64 x s)))) (exp.f64 (log.f64 (*.f64 c (*.f64 x s))))) |
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(*.f64 (*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s)) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c c)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c c)) (/.f64 (*.f64 s s) #s(literal 1 binary64))) |
(*.f64 (*.f64 c (*.f64 c x)) (*.f64 x (*.f64 s s))) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s s))) (*.f64 c x)) |
(*.f64 (exp.f64 (log.f64 (*.f64 c (*.f64 x s)))) (exp.f64 (log.f64 (*.f64 c (*.f64 x s))))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 c (*.f64 x s)) (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 x s) (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 (*.f64 x s) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 (*.f64 s (*.f64 c (*.f64 x x))) #s(literal 1 binary64)) (*.f64 c s)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 x x))) (*.f64 s s)) |
(*.f64 (*.f64 x (*.f64 c (*.f64 c x))) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 c (*.f64 c s))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s) |
(*.f64 (*.f64 (*.f64 c (*.f64 x s)) c) (*.f64 x s)) |
(*.f64 (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c x)) s) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 c c)) s) s) |
(*.f64 (*.f64 (*.f64 s (*.f64 c (*.f64 x x))) c) s) |
(*.f64 (/.f64 (*.f64 s (*.f64 c (*.f64 x x))) (/.f64 #s(literal 1 binary64) c)) s) |
(*.f64 (/.f64 (*.f64 s (*.f64 c (*.f64 x x))) (/.f64 #s(literal -1 binary64) c)) (neg.f64 s)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 x s))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 c (*.f64 x s)) #s(literal 1 binary64)) |
(*.f64 c (*.f64 x s)) |
(*.f64 c (pow.f64 (*.f64 x s) #s(literal 1 binary64))) |
(*.f64 x (*.f64 c s)) |
(*.f64 s (*.f64 c x)) |
(*.f64 s (pow.f64 (*.f64 c x) #s(literal 1 binary64))) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 c x) s) |
(*.f64 (*.f64 x s) c) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 c s) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 1 binary64)) s) |
(*.f64 (pow.f64 (*.f64 c (*.f64 x s)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c (*.f64 x s)) #s(literal 1/2 binary64))) |
(*.f64 c (*.f64 s s)) |
(*.f64 s (*.f64 c s)) |
(*.f64 (*.f64 s s) c) |
(*.f64 (*.f64 c s) s) |
(*.f64 c (*.f64 (*.f64 x s) x)) |
(*.f64 c (*.f64 x (*.f64 x s))) |
(*.f64 x (*.f64 c (*.f64 x s))) |
(*.f64 s (*.f64 c (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 c s)) |
(*.f64 (*.f64 c (*.f64 x x)) s) |
(*.f64 (*.f64 c s) (*.f64 x x)) |
(*.f64 (*.f64 c (*.f64 x s)) x) |
(*.f64 (*.f64 c x) (*.f64 x s)) |
(*.f64 (*.f64 x s) (*.f64 c x)) |
(*.f64 (*.f64 (*.f64 x s) x) c) |
(*.f64 (*.f64 s (*.f64 x x)) c) |
(*.f64 c (*.f64 c (*.f64 x (*.f64 s s)))) |
(*.f64 c (*.f64 s (*.f64 c (*.f64 x s)))) |
(*.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) |
(*.f64 s (*.f64 c (*.f64 c (*.f64 x s)))) |
(*.f64 (*.f64 c (*.f64 c s)) (*.f64 x s)) |
(*.f64 (*.f64 s (*.f64 c (*.f64 c s))) x) |
(*.f64 (*.f64 s s) (*.f64 c (*.f64 c x))) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 c x)) |
(*.f64 (*.f64 c s) (*.f64 c (*.f64 x s))) |
(*.f64 (*.f64 c (*.f64 x s)) (*.f64 c s)) |
(*.f64 (*.f64 x s) (*.f64 c (*.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 x)) (*.f64 s s)) |
(*.f64 (*.f64 c (*.f64 x (*.f64 s s))) c) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x s)) s) |
(*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) |
(*.f64 (*.f64 (*.f64 c s) (*.f64 c x)) s) |
(*.f64 x (*.f64 s s)) |
(*.f64 s (*.f64 x s)) |
(*.f64 (*.f64 s s) x) |
(*.f64 (*.f64 x s) s) |
Compiled 22 264 to 1 033 computations (95.4% saved)
46 alts after pruning (39 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 352 | 15 | 1 367 |
| Fresh | 3 | 24 | 27 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 356 | 46 | 1 402 |
| Status | Accuracy | Program |
|---|---|---|
| 95.0% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s))) x) | |
| 84.3% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) (neg.f64 c)) | |
| ✓ | 72.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))) c) |
| 82.8% | (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) | |
| 82.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 x s) (/.f64 #s(literal 1 binary64) s)))) | |
| 91.5% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) (*.f64 c x)) s) x)) | |
| 95.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s)) x)) | |
| 96.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 c (*.f64 s x)))) | |
| 91.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c x)) s)) | |
| 95.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c (*.f64 s x)))) | |
| ✓ | 71.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
| 90.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c))) | |
| 61.3% | (/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s x))) | |
| 63.4% | (/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) | |
| 52.4% | (/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) | |
| 65.6% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) | |
| 65.8% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) | |
| 78.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 s (*.f64 c (*.f64 c s))))) (cos.f64 (+.f64 x x))) | |
| 54.0% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) | |
| 53.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x x))) | |
| 55.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) | |
| 25.0% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s s))) c))) | |
| 22.3% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) | |
| 22.6% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) | |
| 22.1% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) | |
| 22.1% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) | |
| 22.8% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) | |
| ✓ | 25.3% | #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
| 70.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) | |
| ✓ | 78.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
| 58.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) | |
| 74.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) | |
| 70.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) | |
| 78.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) | |
| 62.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) | |
| ✓ | 80.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
| ✓ | 81.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
| 70.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c 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)))) | |
| 77.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 c s) (*.f64 c s)))))) | |
| 76.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) | |
| 67.0% | #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 c (*.f64 x x))))))) | |
| 79.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) | |
| ✓ | 81.3% | #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 c (*.f64 s x)))))) |
| 71.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
Compiled 2 425 to 773 computations (68.1% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x 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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
#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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s 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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) |
(/.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 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x 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 (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) c)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c x)) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) (*.f64 c x)) s) x)) |
(/.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)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.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 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.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 x x) (*.f64 s (*.f64 c (*.f64 c s))))) (cos.f64 (+.f64 x x))) |
(/.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 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))) 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 (*.f64 x (*.f64 c s)) (*.f64 c s))) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (neg.f64 c))) (neg.f64 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 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s) |
(*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 s x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 (*.f64 c x) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 x s) (/.f64 #s(literal 1 binary64) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
6 calls:
| 30.0ms | x |
| 27.0ms | s |
| 25.0ms | c |
| 25.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | c |
| 98.2% | 1 | s |
| 98.2% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 98.2% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.2% | 1 | (pow.f64 s #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x 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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
#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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s 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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) |
(/.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 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x 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 (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s (*.f64 s (*.f64 c (*.f64 x x)))) c)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x (*.f64 s s))) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c x)) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c (*.f64 c s))) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) (*.f64 c x)) s) x)) |
(/.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)) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 s x)) s)) x)) |
(/.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 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.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 x x) (*.f64 s (*.f64 c (*.f64 c s))))) (cos.f64 (+.f64 x x))) |
(/.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 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
6 calls:
| 23.0ms | c |
| 21.0ms | s |
| 20.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 19.0ms | x |
| 19.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 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))) |
| 97.9% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 97.9% | 1 | c |
| 97.9% | 1 | s |
| 97.9% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x 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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
#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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s 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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) |
(/.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 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x 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 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c))) |
6 calls:
| 17.0ms | s |
| 16.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 16.0ms | x |
| 15.0ms | c |
| 13.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 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))) |
| 96.6% | 2 | x |
| 95.0% | 1 | c |
| 95.0% | 1 | s |
| 95.0% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 95.0% | 1 | (pow.f64 s #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x 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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
#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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s 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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) |
(/.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 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
6 calls:
| 18.0ms | x |
| 17.0ms | c |
| 15.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 15.0ms | s |
| 14.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | c |
| 95.0% | 1 | s |
| 95.0% | 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))) |
| 95.0% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 95.0% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 95.0% | 1 | x |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c (*.f64 x x)))) (*.f64 c s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x s) (*.f64 c c))) (*.f64 x s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c c))) (*.f64 s s))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 c (*.f64 c (*.f64 s s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 c (*.f64 s (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) c)) (*.f64 (*.f64 x c) (*.f64 x s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 s (*.f64 c s)))) (*.f64 x 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))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.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(approx (cos (+ x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 #s(approx (cos (+ x 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 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 c x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 x s)))) |
#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 (*.f64 s s) (*.f64 (*.f64 x x) c)) c)) |
(/.f64 #s(approx (cos (+ x 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 s x)) (*.f64 c (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 x x)) (/.f64 #s(literal 1 binary64) c)) (/.f64 s (/.f64 #s(literal 1 binary64) s))))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* 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)) (*.f64 c (*.f64 s 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 (*.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 s (*.f64 c (*.f64 c s)))))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (/.f64 x (*.f64 s (*.f64 c (*.f64 c s)))) (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 (+ x x)) (* (* s s) (* (* x x) c))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s s))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 c (*.f64 s s))) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))))) (*.f64 x x))) c) |
(/.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 (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) |
6 calls:
| 17.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 17.0ms | s |
| 16.0ms | x |
| 16.0ms | (/.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))) |
| 15.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 1 | x |
| 82.8% | 1 | c |
| 82.8% | 1 | s |
| 86.1% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 82.8% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 82.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
Compiled 43 to 31 computations (27.9% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s (*.f64 x (*.f64 x s))) (*.f64 c c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 c (*.f64 s (*.f64 c s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) (*.f64 c s)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (*.f64 s (*.f64 s (*.f64 x x))))) |
#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 s (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c s))) (*.f64 s (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))) |
1 calls:
| 6.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 (*.f64 (*.f64 x (*.f64 c s)) s) x)))) |
#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 c (*.f64 x x))))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
#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 x (*.f64 (*.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 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 x (*.f64 (*.f64 (*.f64 s x) (*.f64 c s)) c)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 c (*.f64 s (*.f64 x x)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c (*.f64 s (*.f64 s x)))) x))) |
| Outputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 s x)))))) |
1 calls:
| 4.0ms | (/.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 |
|---|---|---|
| 84.7% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 12 computations (36.8% saved)
Total -2.4b remaining (-5%)
Threshold costs -2.4b (-5%)
| Inputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (*.f64 c s) s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) (*.f64 c s))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c s)) s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) (*.f64 c c))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 s s))) c))) |
| Outputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
6 calls:
| 4.0ms | x |
| 3.0ms | s |
| 3.0ms | c |
| 3.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 2.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.3% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 25.3% | 1 | c |
| 25.3% | 1 | s |
| 25.3% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 25.3% | 1 | x |
| 25.3% | 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 |
|---|---|---|
| 14.0ms | 0.00045572977113168594 | 0.004258773698190199 |
| 8.0ms | 96× | 0 | valid |
Compiled 250 to 144 computations (42.4% saved)
ival-mult: 2.0ms (38.3% of total)ival-pow2: 2.0ms (38.3% of total)ival-div: 1.0ms (19.2% of total)ival-cos: 1.0ms (19.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.8903173992145973e+21 | -0.0 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.8903173992145973e+21 | -0.0 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.8903173992145973e+21 | -0.0 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 437 |
| 1 | 95 | 437 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(if (<=.f64 x #s(literal 4242751136953197/9223372036854775808 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 s x))))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 x s))) (*.f64 c (*.f64 x s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c (*.f64 x s)))) |
(if (<=.f64 x #s(literal 4242751136953197/9223372036854775808 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 (*.f64 x c) (*.f64 x s)) c)))) |
(if (<=.f64 x #s(literal 4242751136953197/9223372036854775808 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 x s))) (*.f64 c (*.f64 x s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 c (*.f64 (*.f64 x s) (*.f64 x c)))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 s x) (*.f64 c (*.f64 s x))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 (*.f64 x s) (*.f64 c (*.f64 x s))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 x s))) (*.f64 c (*.f64 x s))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 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 s)) (*.f64 c (*.f64 x s)))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s 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 c (*.f64 s x))))))) |
(if (<=.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -2000000000000000000000 binary64)) #s(approx (/ (/ (cos (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) #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 (+ x x)) (* (* s s) (* (* x x) c))) c) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 s s)))))) |
| 28 530× | lower-fma.f64 |
| 28 530× | lower-fma.f32 |
| 27 518× | lower-fma.f64 |
| 27 518× | lower-fma.f32 |
| 15 610× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 275 |
| 0 | 72 | 233 |
| 1 | 252 | 199 |
| 0 | 1426 | 199 |
| 0 | 40 | 218 |
| 0 | 66 | 194 |
| 1 | 206 | 168 |
| 0 | 939 | 168 |
| 0 | 12 | 49 |
| 0 | 20 | 49 |
| 1 | 55 | 49 |
| 2 | 217 | 45 |
| 3 | 1946 | 39 |
| 0 | 8396 | 39 |
| 0 | 88 | 8594 |
| 1 | 222 | 8594 |
| 2 | 695 | 8518 |
| 3 | 2630 | 8068 |
| 4 | 4821 | 7764 |
| 0 | 8741 | 7685 |
| 0 | 50 | 1476 |
| 1 | 117 | 1476 |
| 2 | 383 | 1462 |
| 3 | 1957 | 1452 |
| 4 | 4755 | 1444 |
| 5 | 6901 | 1444 |
| 0 | 8120 | 1432 |
| 0 | 83 | 7476 |
| 1 | 209 | 7476 |
| 2 | 647 | 7396 |
| 3 | 2606 | 7340 |
| 4 | 4636 | 7340 |
| 0 | 8270 | 7292 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 007 to 386 computations (61.7% saved)
(abs s)
(sort c s)
(abs x)
(abs c)
Compiled 1 254 to 476 computations (62% saved)
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