
Time bar (total: 12.8s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 1.0s | 3 993× | 1 | valid |
| 457.0ms | 4 263× | 0 | valid |
ival-sin: 297.0ms (27.8% of total)ival-tan: 247.0ms (23.1% of total)ival-mult: 243.0ms (22.7% of total)ival-div: 217.0ms (20.3% of total)adjust: 48.0ms (4.5% of total)ival-true: 7.0ms (0.7% of total)exact: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 126 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 32 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 95 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 95 | 0 |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 32 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 32 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 32 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 32 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 32 | |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 31 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 158 | 0 |
| - | 0 | 98 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 158 | 0 | 0 |
| - | 0 | 0 | 98 |
| number | freq |
|---|---|
| 0 | 98 |
| 1 | 32 |
| 2 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 126.0ms | 264× | 0 | valid |
| 42.0ms | 248× | 1 | valid |
Compiled 91 to 28 computations (69.2% saved)
ival-sin: 12.0ms (29.4% of total)ival-tan: 11.0ms (26.9% of total)ival-div: 10.0ms (24.5% of total)ival-mult: 4.0ms (9.8% of total)adjust: 3.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 40× | associate-/r* |
| 36× | times-frac |
| 33× | sub-neg |
| 33× | div-sub |
| 29× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 52 | 67 |
| 2 | 106 | 65 |
| 3 | 177 | 65 |
| 4 | 260 | 65 |
| 5 | 433 | 65 |
| 6 | 544 | 65 |
| 7 | 584 | 65 |
| 8 | 603 | 65 |
| 9 | 616 | 65 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 16 | 13 |
| 2 | 18 | 13 |
| 0 | 18 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(abs y)
(abs x)
Compiled 15 to 8 computations (46.7% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
| 2× | lift-/.f64 |
| 2× | lower-*.f32 |
| 2× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 16 | 36 |
| 2 | 18 | 36 |
| 0 | 18 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.98557670717458 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 104.0ms | 132× | 0 | valid |
| 21.0ms | 124× | 1 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-div: 100.0ms (86.8% of total)ival-sin: 6.0ms (5.2% of total)ival-tan: 6.0ms (5.2% of total)ival-mult: 2.0ms (1.7% of total)adjust: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | (/ x (* y 2)) |
| 2.0ms | y | @ | -inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 1.0ms | x | @ | 0 | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 1.0ms | x | @ | inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
| 7 234× | lower-fma.f64 |
| 7 234× | lower-fma.f32 |
| 3 041× | lower-+.f64 |
| 3 041× | lower-+.f32 |
| 2 724× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3388 | 1926 |
| 0 | 9111 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/768 binary64) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/92160 binary64) (pow.f64 y #s(literal 6 binary64)))))))))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y))))))) y) |
| 1 336× | lower-*.f32 |
| 1 335× | lower-*.f64 |
| 1 113× | lower-/.f32 |
| 1 111× | lower-/.f64 |
| 680× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64)) |
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) |
Compiled 14 207 to 1 787 computations (87.4% saved)
57 alts after pruning (56 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 56 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 623 | 57 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 6.4% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.3% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 42.3% | (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 6.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 41.9% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.9% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.9% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.1% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 18.7% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 42.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) | |
| 21.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| ▶ | 20.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 42.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))) | |
| 33.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) | |
| 33.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 38.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 39.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 42.1% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 42.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.6% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 6.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 37.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 6.4% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 7.0% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 49.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 365 to 1 566 computations (33.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 12864 | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 1984 | (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| cost-diff | 128 | (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) | |
| cost-diff | 640 | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 1 803× | lower-*.f32 |
| 1 792× | lower-*.f64 |
| 1 717× | lower-fma.f64 |
| 1 717× | lower-fma.f32 |
| 1 095× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 333 |
| 0 | 73 | 287 |
| 1 | 128 | 261 |
| 2 | 423 | 238 |
| 3 | 3375 | 234 |
| 4 | 7174 | 234 |
| 0 | 8139 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))))) |
x |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 y y) |
y |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) y) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y y)) y) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) x) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.297538769536884 | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.33303096394154 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.98557670717458 | (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.33303096394154 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.98557670717458 | (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) | |
| accuracy | 41.497204223581306 | (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| accuracy | 22.27271881199464 | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) | |
| accuracy | 28.98557670717458 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.72099755459715 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.12890625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 28.613660069620817 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 169.0ms | 124× | 1 | valid |
| 75.0ms | 132× | 0 | valid |
Compiled 333 to 39 computations (88.3% saved)
ival-sin: 68.0ms (33.1% of total)ival-mult: 56.0ms (27.2% of total)ival-tan: 23.0ms (11.2% of total)ival-div: 22.0ms (10.7% of total)ival-pow: 16.0ms (7.8% of total)adjust: 8.0ms (3.9% of total)ival-cos: 7.0ms (3.4% of total)ival-neg: 4.0ms (1.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (patch (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (patch (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (patch (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (patch (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | inf | (neg (* (* (* y y) 4) (* 2 y))) |
| 2.0ms | x | @ | 0 | (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) |
| 1.0ms | y | @ | -inf | (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) |
| 1× | egg-herbie |
| 5 920× | lower-fma.f64 |
| 5 920× | lower-fma.f32 |
| 3 042× | lower-*.f64 |
| 3 042× | lower-*.f32 |
| 2 234× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 709 | 9252 |
| 1 | 2196 | 8833 |
| 0 | 8461 | 8420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
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1 |
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(* -2 (pow (sqrt -1/2) 2)) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))))) |
(* 2 (pow (sqrt 1/2) 2)) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -5/384 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -5/384 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
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(* 2 (pow (sqrt 1/2) 2)) |
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(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (/.f64 x (*.f64 y y)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x)) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64) (neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 x (/.f64 x (*.f64 y y)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/1920 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/322560 binary64) (pow.f64 y #s(literal 6 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 y y) x))) #s(literal -2 binary64) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64)) x)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (/.f64 x (*.f64 y y)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 y y) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x))) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64)) x)) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64)) x)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (/.f64 x (*.f64 y y)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/1920 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/322560 binary64) (pow.f64 y #s(literal 6 binary64)))))))) |
| 2 342× | lower-*.f32 |
| 2 331× | lower-*.f64 |
| 1 277× | lower-/.f32 |
| 1 271× | lower-/.f64 |
| 651× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 236 |
| 0 | 73 | 170 |
| 1 | 213 | 160 |
| 2 | 1114 | 128 |
| 3 | 7947 | 128 |
| 0 | 8004 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
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(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y))) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y))) (cos.f64 (/.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64))) |
Compiled 46 474 to 5 463 computations (88.2% saved)
96 alts after pruning (94 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 832 | 70 | 1 902 |
| Fresh | 27 | 24 | 51 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 863 | 96 | 1 959 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 6.4% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.3% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 42.3% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 6.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.1% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 10.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 0 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (/.f64 #s(literal 1/2 binary64) y)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x))) | |
| 22.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))) | |
| 7.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y)))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) | |
| 7.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 y (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| ▶ | 20.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| ▶ | 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))) | |
| 8.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) | |
| 29.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x))) | |
| 23.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y)))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 16.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))))) | |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ▶ | 39.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.8% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 40.1% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.2% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.3% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.4% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 28.6% | (/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.7% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.1% | (/.f64 (tan.f64 (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.6% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 6.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 37.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) | |
| 30.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) | |
| 28.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 24.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) | |
| 24.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y y))) (*.f64 #s(literal 4 binary64) y)))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) | |
| ✓ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| ▶ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) | |
| 6.4% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 7.0% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| ▶ | 44.9% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 42.3% | #s(approx (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
Compiled 4 242 to 2 777 computations (34.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) | |
| cost-diff | 1344 | (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) | |
| cost-diff | 640 | (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) | |
| cost-diff | 7168 | (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
| 1 755× | lower-*.f32 |
| 1 745× | lower-*.f64 |
| 1 446× | lower-fma.f32 |
| 1 445× | lower-fma.f64 |
| 1 061× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 340 |
| 0 | 92 | 333 |
| 1 | 159 | 284 |
| 2 | 544 | 249 |
| 3 | 2810 | 249 |
| 4 | 5229 | 249 |
| 5 | 6836 | 249 |
| 6 | 7410 | 249 |
| 7 | 7963 | 249 |
| 0 | 8028 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
y |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
x |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) y) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 2 binary64) y) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.791168885850409 | (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.98557670717458 | (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| accuracy | 28.14216869360162 | (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) | |
| accuracy | 28.985576707174562 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) | |
| accuracy | 22.27271881199464 | (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) | |
| accuracy | 28.985576707174562 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.44773695051843265 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| accuracy | 12.17134539688341 | (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 31.07551922838534 | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) | |
| accuracy | 0.16015625 | (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) | |
| accuracy | 28.613660069620817 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
| 225.0ms | 124× | 1 | valid |
| 73.0ms | 132× | 0 | valid |
Compiled 332 to 52 computations (84.3% saved)
ival-div: 99.0ms (37.4% of total)ival-mult: 49.0ms (18.5% of total)ival-neg: 48.0ms (18.1% of total)ival-sin: 16.0ms (6% of total)ival-tan: 15.0ms (5.7% of total)ival-exp: 9.0ms (3.4% of total)ival-log: 9.0ms (3.4% of total)adjust: 7.0ms (2.6% of total)ival-cos: 7.0ms (2.6% of total)ival-pow: 4.0ms (1.5% of total)ival-add: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (patch (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) (patch (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (patch (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) (patch (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* (/ 1/8 (* y y)) (* x x)) 1) |
| 1.0ms | y | @ | 0 | (+ (* (/ 1/8 (* y y)) (* x x)) 1) |
| 0.0ms | x | @ | 0 | (+ (* (/ 1/8 (* y y)) (* x x)) 1) |
| 0.0ms | x | @ | -inf | (pow (/ 1 x) -1) |
| 0.0ms | y | @ | 0 | (/ 1/8 (* y y)) |
| 1× | egg-herbie |
| 5 646× | lower-fma.f64 |
| 5 646× | lower-fma.f32 |
| 2 886× | lower-*.f64 |
| 2 886× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 371 | 7445 |
| 1 | 1107 | 7353 |
| 2 | 3866 | 7333 |
| 0 | 8696 | 6899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
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(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
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(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -5/384 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -5/384 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/384 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/384 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)))))) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)))))) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)))))) (neg.f64 y)) |
| 2 208× | lower-*.f32 |
| 2 198× | lower-*.f64 |
| 1 936× | lower-/.f32 |
| 1 926× | lower-/.f64 |
| 1 032× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 236 |
| 0 | 92 | 232 |
| 1 | 289 | 190 |
| 2 | 1625 | 155 |
| 0 | 8798 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 x x) |
(sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) x) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(/.f64 (neg.f64 x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) x)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x))) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 x)) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 x)) |
x |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x))) |
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(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
Compiled 43 134 to 3 842 computations (91.1% saved)
114 alts after pruning (109 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 883 | 46 | 1 929 |
| Fresh | 26 | 63 | 89 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 911 | 114 | 2 025 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)) | |
| 6.4% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.3% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 25.8% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 42.3% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 42.3% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 6.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 10.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.5% | (/.f64 (tan.f64 (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y)) y) (*.f64 #s(literal -4 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) y) (*.f64 y y)) #s(literal 1/4 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 0 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x))) | |
| 23.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (/.f64 #s(literal 1/2 binary64) y)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))) | |
| 7.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 y (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| ✓ | 20.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x))) | |
| 19.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 24.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 26.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 8.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 16.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 28.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
| 38.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 38.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) | |
| ✓ | 39.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| 38.7% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.2% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.3% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 42.4% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.7% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.1% | (/.f64 (tan.f64 (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 21.9% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
| 28.5% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) | |
| 42.6% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 37.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) | |
| 30.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) | |
| 28.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 24.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) | |
| 24.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| ▶ | 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))))) | |
| ▶ | 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) | |
| 6.4% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 7.0% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| 41.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ✓ | 44.9% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
| ▶ | 3.0% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 745 to 3 196 computations (32.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) | |
| cost-diff | 192 | (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) | |
| cost-diff | 18688 | (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) | |
| cost-diff | 640 | (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) | |
| cost-diff | 1344 | (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| cost-diff | 640 | (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) | |
| cost-diff | 1600 | (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
| 1 701× | lower-*.f32 |
| 1 690× | lower-*.f64 |
| 1 190× | lower-fma.f32 |
| 1 189× | lower-fma.f64 |
| 1 023× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 382 |
| 0 | 100 | 343 |
| 1 | 170 | 310 |
| 2 | 550 | 274 |
| 3 | 2749 | 274 |
| 4 | 5155 | 274 |
| 5 | 6745 | 274 |
| 6 | 7807 | 274 |
| 0 | 8005 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
x |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
y |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) |
(*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))) |
#s(literal -1/2 binary64) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) |
(fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) |
(log.f64 y) |
y |
#s(literal -1 binary64) |
(log.f64 x) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 x y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
#s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
y |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
#s(literal -1/2 binary64) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) |
(/.f64 x y) |
(fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 y) |
y |
#s(literal -1 binary64) |
(log.f64 x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) | |
| accuracy | 0.533339253588183 | (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) | |
| accuracy | 3.979189481727984 | (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) | |
| accuracy | 28.613660069620817 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) | |
| accuracy | 13.97905342837759 | (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) | |
| accuracy | 28.14216869360162 | (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| accuracy | 28.33303096394152 | (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) | |
| accuracy | 28.98557670717458 | (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| accuracy | 7.93758803362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| accuracy | 13.97905342837759 | (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) | |
| accuracy | 28.33303096394152 | (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| accuracy | 28.98557670717458 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 4.3057563255301865 | (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) | |
| accuracy | 7.06317180319373 | (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) | |
| accuracy | 31.07551922838534 | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| accuracy | 31.13293386174758 | #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| accuracy | 0.12890625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) | |
| accuracy | 0.20703125 | (/.f64 (sqrt.f64 x) y) | |
| accuracy | 0.23113251953688402 | (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) | |
| accuracy | 28.613660069620817 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
| 165.0ms | 124× | 1 | valid |
| 52.0ms | 132× | 0 | valid |
Compiled 357 to 58 computations (83.8% saved)
ival-mult: 42.0ms (25.3% of total)ival-div: 32.0ms (19.3% of total)ival-cos: 18.0ms (10.8% of total)ival-log: 16.0ms (9.6% of total)ival-sin: 16.0ms (9.6% of total)ival-tan: 15.0ms (9% of total)ival-exp: 9.0ms (5.4% of total)adjust: 8.0ms (4.8% of total)ival-sqrt: 4.0ms (2.4% of total)ival-add: 4.0ms (2.4% of total)ival-neg: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) (patch #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) (patch #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (patch (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (patch (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) (patch (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) (patch (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) (patch (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (patch (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (patch (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (patch (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) #<representation binary64>) () ())) ()) |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | y | @ | 0 | (exp (+ (* (log y) -1) (log x))) |
| 39.0ms | x | @ | inf | (exp (+ (* (log y) -1) (log x))) |
| 35.0ms | y | @ | -inf | (exp (+ (* (log y) -1) (log x))) |
| 20.0ms | x | @ | 0 | (exp (+ (* (log y) -1) (log x))) |
| 9.0ms | y | @ | inf | (exp (+ (* (log y) -1) (log x))) |
| 1× | egg-herbie |
| 5 259× | lower-fma.f64 |
| 5 259× | lower-fma.f32 |
| 2 625× | lower-*.f64 |
| 2 625× | lower-*.f32 |
| 1 986× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 7370 |
| 1 | 1233 | 7146 |
| 2 | 4193 | 7074 |
| 0 | 8356 | 6722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
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1 |
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(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (log (/ 1 y)))) |
(exp (+ (log x) (log (/ 1 y)))) |
(exp (+ (log x) (log (/ 1 y)))) |
(exp (+ (log x) (log (/ 1 y)))) |
(exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (log x) (* -1 (log y)))) |
(exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))) |
(exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))) |
(exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))) |
(exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))) |
(exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))) |
(exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))) |
(exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))) |
(exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (* -1 (log y)) (* -1 (log (/ 1 x)))) |
(+ (* -1 (log y)) (* -1 (log (/ 1 x)))) |
(+ (* -1 (log y)) (* -1 (log (/ 1 x)))) |
(+ (* -1 (log y)) (* -1 (log (/ 1 x)))) |
(+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (log (/ 1 y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (log (/ 1 y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (log (/ 1 y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (log (/ 1 y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log x) (* -1 (log y))))))) |
(/ 1 (cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x)))))))) |
(/ 1 (cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x)))))))) |
(/ 1 (cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x)))))))) |
(/ 1 (cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x)))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))))))) |
(/ 1 (cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x))))))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (log (/ 1 y)))))) |
(cos (* -1/2 (exp (+ (log x) (log (/ 1 y)))))) |
(cos (* -1/2 (exp (+ (log x) (log (/ 1 y)))))) |
(cos (* -1/2 (exp (+ (log x) (log (/ 1 y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (log x) (* -1 (log y)))))) |
(cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))))) |
(cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))))) |
(cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))))) |
(cos (* -1/2 (exp (+ (* -1 (log y)) (* -1 (log (/ 1 x))))))) |
(cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))))) |
(cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))))) |
(cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))))) |
(cos (* -1/2 (exp (+ (log -1) (+ (* -1 (log y)) (* -1 (log (/ -1 x)))))))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x) x #s(literal 1 binary64)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
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(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64)))))))) y) |
| 2 091× | lower-*.f32 |
| 2 080× | lower-*.f64 |
| 1 930× | lower-/.f32 |
| 1 921× | lower-/.f64 |
| 1 448× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 271 |
| 0 | 100 | 261 |
| 1 | 294 | 225 |
| 2 | 1688 | 198 |
| 0 | 8784 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))) |
(fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x))))) |
(/.f64 (sqrt.f64 x) y) |
(sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x))) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 y))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) y) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/2 binary64) x))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)) |
(pow.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/8 binary64) x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 y y)) |
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/8 binary64) y) x)) y) |
(/.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) y))) y) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 y y) #s(literal -8 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -8 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x)) y) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/8 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(/.f64 x (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) x))) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 x y)) |
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(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))))) |
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 y))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 x)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y)) |
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) (neg.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)))) |
(*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)))) |
(sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)))) |
Compiled 28 778 to 3 188 computations (88.9% saved)
130 alts after pruning (122 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 362 | 31 | 1 393 |
| Fresh | 13 | 91 | 104 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 377 | 130 | 1 507 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) | |
| 6.3% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 42.3% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 42.3% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 26.1% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 6.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 10.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) y)) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| 14.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.5% | (/.f64 (tan.f64 (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.1% | (/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) | |
| 12.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y)) y) (*.f64 #s(literal -4 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) y) (*.f64 y y)) #s(literal 1/4 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 0 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.8% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x))) | |
| 23.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (/.f64 #s(literal 1/2 binary64) y)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))) | |
| 7.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 y (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| ✓ | 20.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x))) | |
| 19.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 24.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 16.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))) | |
| ✓ | 28.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
| 39.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) | |
| 38.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 38.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) | |
| ✓ | 39.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| 38.7% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.2% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.3% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 30.7% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.1% | (/.f64 (tan.f64 (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.4% | (/.f64 (tan.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) y)) #s(literal -2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 25.6% | (/.f64 (tan.f64 (*.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) y))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| 21.9% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 22.0% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) y)))))) | |
| 28.5% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.1% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) | |
| 21.9% | (/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) | |
| 38.1% | (/.f64 (tan.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.3% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) | |
| 42.6% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 37.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) | |
| 42.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) | |
| 30.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) | |
| 28.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) y))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 24.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) | |
| 24.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))))))) | |
| ✓ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| ✓ | 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64))) (sqrt.f64 x))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y)))) (sqrt.f64 x))))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (sqrt.f64 x))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))))))))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 y))))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))))))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (neg.f64 (log.f64 x)))))))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 y)))))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (log.f64 y)))))))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (exp (+ (* (log y) -1) (log x))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y))))) | |
| 6.4% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 7.0% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| 41.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ✓ | 44.9% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
| 3.0% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) | |
| ✓ | 3.0% | #s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 6 760 to 2 745 computations (59.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y y))) (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (exp (+ (* (log y) -1) (log x))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
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(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (tan.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (log.f64 y)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 y)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (neg.f64 (log.f64 x)))))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (-.f64 (neg.f64 (log.f64 y)) (log.f64 x)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y)))) (sqrt.f64 x))))) |
5 calls:
| 340.0ms | y |
| 117.0ms | x |
| 84.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 64.0ms | (*.f64 y #s(literal 2 binary64)) |
| 55.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | x |
| 55.6% | 1 | y |
| 55.6% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.6% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 55.6% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y y))) (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (exp (+ (* (log y) -1) (log x))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
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(/.f64 (tan.f64 (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (* 2 y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64))) (sqrt.f64 x))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 0 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (sqrt.f64 x))))) |
5 calls:
| 86.0ms | x |
| 47.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 46.0ms | y |
| 44.0ms | (*.f64 y #s(literal 2 binary64)) |
| 40.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.5% | 1 | y |
| 55.5% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 55.5% | 1 | x |
| 55.5% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) (*.f64 #s(literal 4 binary64) y)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y y))) (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) y) (/.f64 y x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (exp (+ (* (log y) -1) (log x))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1/2 binary64)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) y)) y))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) y)) (sin.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 y y)) y) (*.f64 #s(literal -4 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) y))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) y) (*.f64 y y)) #s(literal 1/4 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) y)))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 y (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) y)) #s(literal -2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y)))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)))))) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
5 calls:
| 82.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 49.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.0ms | (*.f64 y #s(literal 2 binary64)) |
| 42.0ms | x |
| 39.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.3% | 1 | x |
| 55.3% | 1 | y |
| 55.3% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 55.3% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (* (* x x) 1/2) (* x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) y)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 48.0ms | (*.f64 y #s(literal 2 binary64)) |
| 10.0ms | x |
| 7.0ms | y |
| 7.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.1% | 1 | x |
| 55.1% | 1 | y |
| 55.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 56.8% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
Total -33.7b remaining (-117.3%)
Threshold costs -33.7b (-117.3%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (/ (neg (* (* (* y y) 4) (* 2 y))) (neg (* (* y y) 4))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 5.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.1% | 1 | x |
| 55.1% | 1 | y |
| 55.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 55.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.715242436865148e+31 | 8.69634575488781e+31 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.715242436865148e+31 | 8.69634575488781e+31 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 1× | mul-1-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 135 |
| 1 | 66 | 134 |
| 2 | 69 | 134 |
| 3 | 71 | 134 |
| 4 | 72 | 134 |
| 5 | 73 | 134 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y)))) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 79999999999999997087170359721984 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y)))) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (sqrt.f64 x) (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 y))))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 y (sqrt.f64 x))))) (sqrt.f64 x)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 79999999999999997087170359721984 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 79999999999999997087170359721984 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 7 234× | lower-fma.f64 |
| 7 234× | lower-fma.f32 |
| 3 041× | lower-+.f64 |
| 3 041× | lower-+.f32 |
| 2 724× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3388 | 1926 |
| 0 | 9111 | 1817 |
| 0 | 57 | 236 |
| 0 | 92 | 232 |
| 1 | 289 | 190 |
| 2 | 1625 | 155 |
| 0 | 8798 | 155 |
| 0 | 63 | 271 |
| 0 | 100 | 261 |
| 1 | 294 | 225 |
| 2 | 1688 | 198 |
| 0 | 8784 | 196 |
| 0 | 42 | 236 |
| 0 | 73 | 170 |
| 1 | 213 | 160 |
| 2 | 1114 | 128 |
| 3 | 7947 | 128 |
| 0 | 8004 | 128 |
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 379 to 233 computations (38.5% saved)
Compiled 586 to 362 computations (38.2% saved)
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