
Time bar (total: 12.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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 | 4 060× | 1 | valid |
| 373.0ms | 4 196× | 0 | valid |
ival-tan: 510.0ms (47.5% of total)ival-div: 219.0ms (20.4% of total)ival-sin: 202.0ms (18.8% of total)ival-mult: 77.0ms (7.2% of total)adjust: 52.0ms (4.8% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% 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)))) |
| 35 | 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 | 88 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 88 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 38 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 38 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 35 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 35 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 35 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 35 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 161 | 0 |
| - | 0 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 161 | 0 | 0 |
| - | 0 | 0 | 95 |
| number | freq |
|---|---|
| 0 | 95 |
| 1 | 35 |
| 2 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 244× | 1 | valid |
| 17.0ms | 268× | 0 | valid |
Compiled 91 to 28 computations (69.2% saved)
ival-div: 15.0ms (32.8% of total)ival-sin: 12.0ms (26.3% of total)ival-tan: 11.0ms (24.1% of total)ival-mult: 4.0ms (8.8% of total)adjust: 3.0ms (6.6% 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 |
| 80× | associate-/r* |
| 72× | times-frac |
| 66× | sub-neg |
| 66× | div-sub |
| 58× | 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))))) |
(abs y)
(abs x)
Compiled 15 to 8 computations (46.7% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.4% | (/.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))))) |
| 12× | lower-/.f32 |
| 8× | lower-/.f64 |
| 4× | lift-/.f64 |
| 4× | lower-*.f32 |
| 4× | 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))))) |
(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)))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 8.656346286778886 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 27.914413136579014 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.568258075525527 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 21.0ms | 134× | 0 | valid |
| 21.0ms | 122× | 1 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-sin: 8.0ms (34.8% of total)ival-tan: 6.0ms (26.1% of total)ival-div: 5.0ms (21.8% of total)adjust: 2.0ms (8.7% of total)ival-mult: 2.0ms (8.7% 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 | y | @ | -inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | (/ 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 |
| 14 468× | lower-fma.f64 |
| 14 468× | lower-fma.f32 |
| 6 082× | lower-+.f64 |
| 6 082× | lower-+.f32 |
| 5 448× | 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 x x) (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))) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 y y))) #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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(/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 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 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (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)))))) (+ (* -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 (-.f64 (fma.f64 x #s(literal -1/2 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 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 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 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal -1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/92160 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) 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 x (*.f64 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 x #s(literal 1/2 binary64)))) 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 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.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 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (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 x (*.f64 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 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 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 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
| 2 672× | lower-*.f32 |
| 2 670× | lower-*.f64 |
| 2 226× | lower-/.f32 |
| 2 222× | lower-/.f64 |
| 1 360× | 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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.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 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (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))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
Compiled 14 207 to 1 770 computations (87.5% saved)
52 alts after pruning (51 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 628 | 51 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 628 | 52 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.3% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 54.2% | (pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64)) | |
| 41.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 55.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))) | |
| 6.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| ▶ | 41.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 29.1% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.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))))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.3% | (/.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))))) | |
| 11.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.3% | (/.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))))) | |
| 6.6% | (/.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 x (*.f64 y #s(literal -2 binary64)))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 29.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) | |
| 41.6% | (/.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)))) | |
| 29.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) | |
| 13.0% | (/.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 (*.f64 x x)))) (*.f64 x x)))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))) | |
| ▶ | 41.6% | (/.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))))) |
| ✓ | 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))))))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 28.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) | |
| 37.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.0% | (/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) | |
| 19.9% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 6.3% | (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 37.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 6.6% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (-.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))))) | |
| 41.0% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
| ▶ | 55.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 185 to 1 392 computations (36.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 7104 | (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) | |
| cost-diff | 12224 | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 1088 | (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 260× | lower-*.f32 |
| 254× | lower-*.f64 |
| 162× | associate-*r* |
| 116× | associate-*l* |
| 62× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 218 |
| 0 | 56 | 197 |
| 1 | 76 | 195 |
| 2 | 105 | 195 |
| 3 | 138 | 195 |
| 4 | 170 | 195 |
| 5 | 267 | 195 |
| 6 | 343 | 195 |
| 7 | 354 | 195 |
| 8 | 358 | 195 |
| 9 | 359 | 195 |
| 0 | 359 | 195 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
#s(literal 1 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))))) |
(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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(cos.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) |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
#s(literal 1 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 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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(cos.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) |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 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 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.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) |
#s(literal 1/2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.574315036778886 | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.378074536035625 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 13.425448241536339 | (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 13.619416990941048 | (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) | |
| accuracy | 0.13671875 | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 13.605540325643071 | (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 8.574315036778886 | (/.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))))) | |
| accuracy | 13.378074536035625 | (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 13.619416990941048 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.21660476065132678 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| accuracy | 7.690612718188317 | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) | |
| accuracy | 14.516121729447603 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 12.003260792029089 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 115.0ms | 131× | 0 | valid |
| 34.0ms | 58× | 1 | valid |
| 32.0ms | 59× | 1 | invalid |
| 3.0ms | 8× | 0 | invalid |
Compiled 208 to 31 computations (85.1% saved)
ival-pow: 67.0ms (42.1% of total)ival-div: 35.0ms (22% of total)ival-sin: 16.0ms (10% of total)ival-tan: 11.0ms (6.9% of total)ival-mult: 8.0ms (5% of total)ival-pow2: 7.0ms (4.4% of total)adjust: 5.0ms (3.1% of total)ival-cos: 5.0ms (3.1% of total)ival-sqrt: 3.0ms (1.9% of total)ival-add: 2.0ms (1.3% 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 #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 #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<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 (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<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 #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 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#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 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#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 (+ 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 #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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#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 (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#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 1 (taylor inf y) (#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 (- (+ 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 #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 (- (+ 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 #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 (- (+ 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 #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 1 (taylor -inf y) (#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 (- (+ 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 #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 (- (+ 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)))))) (taylor -inf y) (#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 (- (+ 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))))))))) (taylor -inf y) (#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 1 (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#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 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#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>) () ())) ()) |
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#s(alt (* 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)))) (taylor 0 x) (#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>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#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 (sin (* 1/2 (/ x y))) (taylor inf x) (#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 (sin (* 1/2 (/ x y))) (taylor -inf x) (#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 (sin (* 1/2 (/ x y))) (taylor -inf x) (#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 (sin (* 1/2 (/ x y))) (taylor -inf x) (#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 (sin (* 1/2 (/ x y))) (taylor -inf x) (#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 (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 (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 (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 (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>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (pow (cos (/ x (* y 2))) -1/2) |
| 3.0ms | x | @ | 0 | (/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | -inf | (/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | inf | (/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | (pow (/ x (* y 2)) 1/2) |
| 1× | egg-herbie |
| 12 160× | lower-fma.f64 |
| 12 160× | lower-fma.f32 |
| 6 362× | lower-*.f64 |
| 6 362× | lower-*.f32 |
| 4 672× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 745 | 9011 |
| 1 | 2312 | 8554 |
| 0 | 8590 | 8149 |
| 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)))))) |
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(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
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(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -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))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
1 |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -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))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
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)))))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* 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 (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* 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))))) |
(* 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)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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)))))) |
(- (+ (* 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))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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))) (+ (* -1/161280 (/ (* (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))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(* -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))))))))) |
(/ (* 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 (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* 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))) |
(/ (* 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)) |
(* 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)) |
(* 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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)))) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) |
(- (+ 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 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 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 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64))))) (*.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 #s(literal 1/1920 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.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)))) (/.f64 (*.f64 #s(literal -1/322560 binary64) (pow.f64 x #s(literal 6 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)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)))) |
(- (+ 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)))))) |
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(neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) #s(literal 1/24 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64))) (/.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))))) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) 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 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) 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 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (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 x (*.f64 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 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 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))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) 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 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) 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 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (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 x (*.f64 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 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 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))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
| 4 040× | lower-*.f32 |
| 4 034× | lower-*.f64 |
| 3 758× | lower-fma.f32 |
| 3 756× | lower-fma.f64 |
| 2 628× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 172 |
| 0 | 56 | 156 |
| 1 | 179 | 156 |
| 2 | 780 | 131 |
| 3 | 7241 | 131 |
| 0 | 8308 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/.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 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))) |
(fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) |
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(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
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(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/8 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/8 binary64))) |
(-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(neg.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y))) (sin.f64 (/.f64 x (neg.f64 y)))) (+.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y))) (cos.f64 (/.f64 x (neg.f64 y))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -3/4 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/4 binary64))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 y #s(literal -2 binary64))) |
(/.f64 y #s(literal 1/2 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 y) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
Compiled 37 801 to 3 571 computations (90.6% saved)
115 alts after pruning (112 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 641 | 77 | 1 718 |
| Fresh | 11 | 35 | 46 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 655 | 115 | 1 770 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) | |
| 52.6% | (pow.f64 (pow.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.6% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.2% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.5% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.8% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.6% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 52.8% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 44.7% | (pow.f64 (pow.f64 #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 54.2% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/2 binary64)) | |
| 54.2% | (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) #s(literal -1/4 binary64)) | |
| 54.2% | (pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64)) | |
| 52.3% | (pow.f64 #s(approx (pow (cos (/ x (* y 2))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) #s(literal 2 binary64)) | |
| 41.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 6.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.5% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.5% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 40.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 37.9% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 41.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.5% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.7% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))) | |
| 37.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 38.2% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.3% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.9% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.1% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.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))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 12.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 19.3% | (/.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))))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 11.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.3% | (/.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))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.6% | (/.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 x (*.f64 y #s(literal -2 binary64)))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 41.6% | (/.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)))) | |
| 29.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) | |
| 13.0% | (/.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 (*.f64 x x)))) (*.f64 x x)))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 28.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) | |
| 37.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.7% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 6.3% | (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 37.6% | (/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.0% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ▶ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.0% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) | |
| 5.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 41.0% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) | |
| ▶ | 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
| 37.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) | |
| ✓ | 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
| ✓ | 55.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 894 to 3 161 computations (35.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) | |
| cost-diff | 12224 | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) | |
| cost-diff | 0 | (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 7744 | (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) | |
| cost-diff | 1664 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 8 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 384 | (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 17 636× | lower-fma.f32 |
| 17 634× | lower-fma.f64 |
| 2 998× | lower-*.f32 |
| 2 986× | lower-*.f64 |
| 2 366× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 296 |
| 0 | 73 | 283 |
| 1 | 112 | 276 |
| 2 | 228 | 240 |
| 3 | 677 | 240 |
| 4 | 3012 | 240 |
| 5 | 4026 | 240 |
| 6 | 6649 | 240 |
| 0 | 8063 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(cos.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) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 x (*.f64 y #s(literal 8 binary64))) |
(*.f64 y #s(literal 8 binary64)) |
#s(literal 8 binary64) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 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)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 y) |
y |
#s(literal 2 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)) |
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) |
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(log.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) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(cos.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) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 x (*.f64 y #s(literal 8 binary64))) |
(*.f64 y #s(literal 8 binary64)) |
#s(literal 8 binary64) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) y) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 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)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) |
(tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 y) |
y |
#s(literal 2 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)) |
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(log.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) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 2.8909198752143985 | (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.605540325643071 | (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| accuracy | 13.704892874052286 | (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.29296875 | (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 8.574315036778886 | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.378074536035626 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 13.619416990941048 | (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) | |
| accuracy | 8.574315036778886 | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.378074536035626 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 13.619416990941048 | (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) | |
| accuracy | 30.03862079072423 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 y #s(literal 8 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) | |
| accuracy | 14.516121729447603 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.0703125 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.605540325643071 | (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 67.0ms | 58× | 1 | valid |
| 65.0ms | 59× | 1 | invalid |
| 47.0ms | 131× | 0 | valid |
| 3.0ms | 8× | 0 | invalid |
Compiled 288 to 41 computations (85.8% saved)
ival-div: 39.0ms (26% of total)ival-log: 20.0ms (13.3% of total)ival-tan: 19.0ms (12.7% of total)ival-mult: 12.0ms (8% of total)ival-cos: 12.0ms (8% of total)ival-exp: 10.0ms (6.7% of total)ival-pow: 9.0ms (6% of total)ival-pow2: 8.0ms (5.3% of total)adjust: 6.0ms (4% of total)ival-sqrt: 5.0ms (3.3% of total)ival-sin: 5.0ms (3.3% of total)ival-neg: 2.0ms (1.3% of total)ival-add: 2.0ms (1.3% of total)exact: 1.0ms (0.7% 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.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 (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 8 binary64))) (patch (/.f64 x (*.f64 y #s(literal 8 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (patch (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (patch (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (patch (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (patch (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 8 binary64)) (patch (*.f64 y #s(literal 8 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 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 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 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.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 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<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 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log (* 1/2 x)) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 x)) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | 0 | (log (/ x (* y 2))) |
| 37.0ms | x | @ | 0 | (log (/ x (* y 2))) |
| 17.0ms | y | @ | -inf | (log (/ x (* y 2))) |
| 17.0ms | x | @ | -inf | (log (/ x (* y 2))) |
| 9.0ms | y | @ | 0 | (* (/ -1/2 y) (neg (* x (* x x)))) |
| 1× | egg-herbie |
| 12 374× | lower-fma.f64 |
| 12 374× | lower-fma.f32 |
| 6 224× | lower-*.f64 |
| 6 224× | lower-*.f32 |
| 4 680× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 789 | 9416 |
| 1 | 2429 | 8858 |
| 0 | 8549 | 8494 |
| 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)) |
(* 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 |
(+ 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 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 (* (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))))))))) |
(/ 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) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ 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)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) y)) |
(* 1/2 (/ (pow x 3) 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)))))) |
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(+ (* 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 (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(* 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)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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)))))) |
(- (+ (* 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))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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))) (+ (* -1/161280 (/ (* (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))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2))) |
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2))))) |
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) (* x (pow y 4)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (* (pow y 4) (pow (sqrt -1) 2)))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2))))))) |
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(/ (* x (pow (sqrt 1/2) 2)) y) |
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(+ (log (* 1/2 x)) (log (/ 1 y))) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 x x) (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))) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x 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 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #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 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 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 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #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 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 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 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #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 x x) (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))) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))) |
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(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (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 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
(+ (log x) (log (/ 1/2 y))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log x) (log (/ 1/2 y))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log x) (log (/ 1/2 y))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log x) (log (/ 1/2 y))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* 1/2 x)) (* -1 (log y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (* -1 (log y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (* -1 (log y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (* -1 (log y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* 1/2 x)) (log (/ 1 y))) |
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y)) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1/2 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
| 4 698× | lower-/.f32 |
| 4 682× | lower-/.f64 |
| 4 504× | lower-*.f32 |
| 4 492× | lower-*.f64 |
| 2 396× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 220 |
| 0 | 73 | 182 |
| 1 | 226 | 179 |
| 2 | 1257 | 165 |
| 0 | 8251 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 x y) |
(/.f64 x (*.f64 y #s(literal 8 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) |
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) |
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 y #s(literal 8 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(fabs.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y))) |
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(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 y)))) |
(-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(-.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 y)))) |
(-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 y)) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64))))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(neg.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(neg.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) |
Compiled 55 034 to 5 638 computations (89.8% saved)
124 alts after pruning (118 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 585 | 66 | 2 651 |
| Fresh | 55 | 52 | 107 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 642 | 124 | 2 766 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.8% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 18.6% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.7% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.9% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.0% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 52.8% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| ▶ | 54.2% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
| 54.2% | (pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64)) | |
| 52.3% | (pow.f64 #s(approx (pow (cos (/ x (* y 2))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) #s(literal 2 binary64)) | |
| 41.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.7% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 12.2% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) | |
| 29.8% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 40.9% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 41.0% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.2% | (/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.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))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.1% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 11.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) | |
| 12.6% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y))) | |
| 11.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 12.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) | |
| 12.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) | |
| 12.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x))) x)))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.1% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) | |
| 13.0% | (/.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 (*.f64 x x)))) (*.f64 x x)))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 37.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.0% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.7% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.3% | (/.f64 (tan.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 37.6% | (/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 39.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) | |
| 21.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)))) | |
| 38.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y))))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ▶ | 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
| 22.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 2 binary64))))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 48.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x)))) | |
| 24.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x))))) | |
| 38.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 19.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 18.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) | |
| ▶ | 5.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
| 41.0% | (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) | |
| ✓ | 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
| ✓ | 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
| ▶ | 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 55.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 5 049 to 3 374 computations (33.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 4160 | (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| cost-diff | 640 | (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| 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 (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
| 3 576× | lower-*.f32 |
| 3 556× | lower-*.f64 |
| 3 018× | lower-/.f32 |
| 2 998× | lower-/.f64 |
| 2 638× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 395 |
| 0 | 93 | 391 |
| 1 | 150 | 359 |
| 2 | 309 | 337 |
| 3 | 746 | 331 |
| 4 | 2769 | 331 |
| 5 | 5695 | 331 |
| 0 | 8352 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
x |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ x y) (/ x (* y 8))) 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 |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
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)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #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 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 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) |
(neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 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)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) x) |
(/.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
x |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64)))))) |
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64)))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
x |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(cos.f64 (/.f64 x y)) |
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x y) |
#s(literal 2 binary64) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(neg.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))) |
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
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)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 x (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
x |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 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)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 15.738454566201996 | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| accuracy | 27.91441313657899 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.333686037702083 | (cos.f64 (/.f64 x y)) | |
| accuracy | 28.592935230325722 | (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) | |
| accuracy | 0.39453125 | (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) | |
| accuracy | 8.656346286778886 | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 27.91441313657899 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.568258075525527 | (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.08984375 | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) | |
| accuracy | 0.23616265702637798 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| accuracy | 28.333686037702083 | (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 4.25298508377615 | (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) | |
| accuracy | 8.129467572593304 | (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) | |
| accuracy | 31.126129280583374 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| accuracy | 31.219424487942153 | #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) | |
| accuracy | 0.196280966849389 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) | |
| accuracy | 28.57580479281726 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
| 155.0ms | 151× | 1 | valid |
| 55.0ms | 46× | 3 | valid |
| 49.0ms | 51× | 2 | valid |
| 4.0ms | 8× | 0 | valid |
Compiled 365 to 53 computations (85.5% saved)
ival-mult: 37.0ms (18.8% of total)ival-div: 33.0ms (16.7% of total)ival-cos: 32.0ms (16.2% of total)adjust: 25.0ms (12.7% of total)ival-tan: 18.0ms (9.1% of total)ival-pow: 17.0ms (8.6% of total)ival-neg: 13.0ms (6.6% of total)ival-sqrt: 7.0ms (3.6% of total)ival-sin: 6.0ms (3% of total)ival-add: 5.0ms (2.5% of total)ival-sub: 3.0ms (1.5% 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) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal 2 binary64)) x) (patch (/.f64 (*.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) (patch #s(approx (+ (* (/ x y) (/ x (* y 8))) 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 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (patch (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) (patch (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (patch (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (patch (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (patch (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.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 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.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>) () ()) |
#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) |
| 4.0ms | x | @ | 0 | (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) |
| 4.0ms | y | @ | inf | (* (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) (- 1/2 (* 1/2 (cos (/ x y))))) |
| 4.0ms | y | @ | -inf | (* (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) (- 1/2 (* 1/2 (cos (/ x y))))) |
| 3.0ms | y | @ | inf | (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) |
| 1× | egg-herbie |
| 7 046× | lower-fma.f64 |
| 7 046× | lower-fma.f32 |
| 6 290× | lower-*.f64 |
| 6 290× | lower-*.f32 |
| 5 326× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1138 | 12668 |
| 1 | 3531 | 11958 |
| 0 | 8580 | 11455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(/ 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))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
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 |
(+ 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 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)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 2))) |
(* 1/8 (/ x (pow y 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) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
(+ 1/2 (* 1/2 (cos (/ x y)))) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/48 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (* 1/48 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/48 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (* 1/48 (/ (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)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
(sqrt (/ 1 (+ 1/2 (* 1/2 (cos (/ x y)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))) (+ (* -1/1440 (pow x 6)) (+ (* 1/192 (pow x 6)) (* 1/4 (* (pow x 2) (+ (* -1/16 (pow x 4)) (* 1/48 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))) (+ (* -1/1440 (pow x 6)) (+ (* 1/192 (pow x 6)) (* 1/4 (* (pow x 2) (+ (* -1/16 (pow x 4)) (* 1/48 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2)))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1/2 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
(* 1/2 (cos (/ x y))) |
1/2 |
(+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1/2 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/48 (/ (pow x 4) (pow y 4))))) |
(+ 1/2 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (* 1/48 (/ (pow x 4) (pow y 4)))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1/2 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/48 (/ (pow x 4) (pow y 4))))) |
(+ 1/2 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (* 1/48 (/ (pow x 4) (pow y 4)))))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) (* y (pow (sqrt -1) 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 (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* 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))))) |
(* 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)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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)))))) |
(- (+ (* 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))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 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))) (+ (* -1/161280 (/ (* (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))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2))) |
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2))))) |
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) (* x (pow y 4)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (* (pow y 4) (pow (sqrt -1) 2)))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2))))))) |
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow (sqrt -1) 14))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))))) (pow (sqrt -1) 4))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow (sqrt -1) 14))) (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 8)))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) (* x (pow y 4)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))))) (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (* (pow y 4) (pow (sqrt -1) 2)))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (* (pow y 6) (pow (sqrt -1) 2)))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2)))))))))) |
(/ (* 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 (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* 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))) |
(/ (* 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 (pow (sqrt -1) 2)))) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6))))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 4) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10))))))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (* (pow y 6) (pow (sqrt -1) 14)))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 4) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))))) (* (pow y 6) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (* (pow y 6) (pow (sqrt -1) 14)))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 6) (pow (sqrt -1) 8)))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))))))))) y)) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* -1 (* (sqrt (/ x y)) (sqrt 1/2))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 5/6 (pow x 2)) (* 4 (pow y 2))) (pow x 2)) |
(/ (+ (* 4 (pow y 2)) (* (pow x 2) (+ 5/6 (* 53/480 (/ (pow x 2) (pow y 2)))))) (pow x 2)) |
(/ (+ (* 4 (pow y 2)) (* (pow x 2) (+ 5/6 (* (pow x 2) (+ (* 599/48384 (/ (pow x 2) (pow y 4))) (* 53/480 (/ 1 (pow y 2)))))))) (pow x 2)) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 8 (/ (- (* -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 x 3))) (+ (* -32 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 5))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5))))) (pow x 3))))) (pow y 4))) (+ (* -1 (/ (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 8 (/ (- (* -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 x 3))) (+ (* -32 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 5))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5))))) (pow x 3))))) (pow y 4))) (+ (* -1 (/ (- (* 8 (/ (- (* 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)))))))) (pow x 3))) (+ (* -32 (/ (+ (* -1/48 (* (pow x 3) (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/184320 (pow x 9)) (+ (* -1/2580480 (pow x 9)) (* 1/2 (* x (+ (* -1/92160 (pow x 8)) (* -1/645120 (pow x 8)))))))) (pow x 5))) (+ (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (- (* -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 x 3))) (+ (* -32 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 5))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5))))) (pow x 3)))))) (pow x 3))) (* 8 (/ (* (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5))))) (pow x 3)))))) (pow y 6))) (+ (* -1 (/ (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2))))))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5)))) (pow y 2))) (+ (* -1 (/ (- (* -8 (/ (- (* 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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5))))) (pow x 3))) (* 32 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 5))))) (pow y 4))) (* 4 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5)))) (pow y 2))) (+ (* -1 (/ (- (* -8 (/ (- (* -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)))))))) (pow x 3))) (+ (* -8 (/ (* (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5))))) (pow x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (- (* 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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5))))) (pow x 3))) (* 32 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 5)))))) (pow x 3))) (* 32 (/ (+ (* -1/2 (* x (+ (* -1/92160 (pow x 8)) (* -1/645120 (pow x 8))))) (+ (* 1/2580480 (pow x 9)) (+ (* 1/184320 (pow x 9)) (* 1/48 (* (pow x 3) (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6)))))))) (pow x 5)))))) (pow y 6))) (+ (* -1 (/ (- (* -8 (/ (- (* 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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (pow x 3))) (* 32 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 5))))) (pow x 3))) (* 32 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 5))))) (pow y 4))) (* 4 (/ 1 (pow x 2))))))) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/80640 (/ (pow x 2) (pow y 8))) (* 1/1440 (/ 1 (pow y 6))))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(- 1/2 (* 1/2 (cos (/ x y)))) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(/ (- (* -1/48 (/ (pow x 4) (pow y 2))) (* -1/4 (pow x 2))) (pow y 2)) |
(/ (- (* 1/1440 (/ (pow x 6) (pow y 4))) (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(/ (- (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(/ (- (* -1/48 (/ (pow x 4) (pow y 2))) (* -1/4 (pow x 2))) (pow y 2)) |
(/ (- (* 1/1440 (/ (pow x 6) (pow y 4))) (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(/ (- (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2)) |
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 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
(* -1 (/ (* (sin (* -1/2 (/ x y))) (- 1/2 (* 1/2 (cos (/ x y))))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3)))) |
1 |
(+ 1 (* -1 (/ (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3)))) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 3))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3))))) (pow y 4))) (* -1 (/ (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3)))) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* -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)))))) (+ (* 1/161280 (pow x 9)) (+ (* 1/1440 (* (pow x 6) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* 1/4 (* (pow x 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))))))))))))) (pow x 3))) (+ (* -8 (/ (+ (* -1/48 (* (pow x 3) (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/184320 (pow x 9)) (+ (* -1/2580480 (pow x 9)) (* 1/2 (* x (+ (* -1/92160 (pow x 8)) (* -1/645120 (pow x 8)))))))) (pow x 3))) (+ (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 3))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3)))))) (pow x 3))) (* 8 (/ (* (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3)))))) (pow y 6))) (+ (* -1 (/ (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 3))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3))))) (pow y 4))) (* -1 (/ (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3)))) (pow y 2)))))) |
1 |
(+ 1 (* -1 (/ (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3)))) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (- (* -8 (/ (+ (* -1/48 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (+ (* 1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3))))) (pow x 3))) (* 8 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 3))))) (pow y 4))) (* -1 (/ (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3)))) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- (* -8 (/ (+ (* -1/48 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (+ (* 1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3))))) (pow x 3))) (* 8 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 3))))) (pow y 4))) (+ (* -1 (/ (- (* -8 (/ (+ (* -1/48 (* (pow x 4) (- (* 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)))))) (+ (* -1/161280 (pow x 9)) (+ (* 1/1440 (* (pow x 6) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/4 (* (pow x 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))))))))))))) (pow x 3))) (+ (* -8 (/ (* (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3))))) (pow x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (+ (* -1/48 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (+ (* 1/2880 (pow x 7)) (* 1/4 (* (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 x 3))) (+ (* -8 (/ (* (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3))))) (pow x 3))) (* 8 (/ (+ (* -1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/2304 (pow x 7)) (* -1/15360 (pow x 7)))) (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* -1/2 (* x (+ (* -1/92160 (pow x 8)) (* -1/645120 (pow x 8))))) (+ (* 1/2580480 (pow x 9)) (+ (* 1/184320 (pow x 9)) (* 1/48 (* (pow x 3) (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6)))))))) (pow x 3)))))) (pow y 6))) (* -1 (/ (- (* -8 (/ (+ (* -1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))) (pow x 3))) (* 8 (/ (+ (* 1/192 (pow x 5)) (* 1/96 (pow x 5))) (pow x 3)))) (pow y 2)))))) |
(* -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)) |
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -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) |
(/ (- (+ (* -1/2 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 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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)) |
(* 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 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(* 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 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
| Outputs |
|---|
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #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)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #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 (* -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 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
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(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.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 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 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 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (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 x #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (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 x #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
| 5 012× | lower-*.f32 |
| 4 992× | lower-*.f64 |
| 4 056× | lower-/.f32 |
| 4 036× | lower-/.f64 |
| 2 340× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 289 |
| 0 | 93 | 250 |
| 1 | 297 | 228 |
| 2 | 1849 | 205 |
| 0 | 8251 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) x) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ x y) (/ x (* y 8))) 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 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(*.f64 y #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64)) (sqrt.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y)) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.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 (neg.f64 (-.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
Compiled 51 546 to 4 401 computations (91.5% saved)
137 alts after pruning (129 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 652 | 33 | 1 685 |
| Fresh | 17 | 96 | 113 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 672 | 137 | 1 809 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 54.2% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64)) | |
| 54.2% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.8% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 18.6% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.7% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.9% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.0% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.9% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 52.8% | (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 54.2% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x)))) #s(literal -1/2 binary64)) | |
| 54.3% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal -1/2 binary64)) | |
| 41.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.9% | (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| 38.3% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.7% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 12.2% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) | |
| 29.8% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 40.9% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 41.0% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.1% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 38.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.2% | (/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.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))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.1% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 11.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) | |
| 12.6% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y))) | |
| 11.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 12.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) | |
| 12.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x))) x)))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) | |
| 13.0% | (/.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 (*.f64 x x)))) (*.f64 x x)))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 37.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| 41.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.7% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (*.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.3% | (/.f64 (tan.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 37.6% | (/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 39.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) | |
| 21.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 38.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 2 binary64))))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) | |
| 38.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 19.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal 2 binary64))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 2 binary64))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) | |
| 5.9% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) | |
| 53.4% | (*.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) | |
| 5.9% | (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 5.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| 5.2% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) | |
| 5.2% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))))) | |
| 6.2% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 3.4% | (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 41.0% | (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) | |
| 54.2% | #s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| ✓ | 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
| ✓ | 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
| 2.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) | |
| ✓ | 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 55.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 7 388 to 2 803 computations (62.1% saved)
| Inputs |
|---|
#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(approx (+ (* (/ x y) (/ x (* y 8))) 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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 x #s(literal 1/2 binary64)) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
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(/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) |
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 114.0ms | x |
| 112.0ms | y |
| 82.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 77.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 69.0ms | (*.f64 y #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 1 | x |
| 55.8% | 1 | y |
| 57.8% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 58.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 55.8% | 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 (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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 x #s(literal 1/2 binary64)) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 11.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#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(approx (+ (* (/ x y) (/ x (* y 8))) 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.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 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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 x #s(literal 1/2 binary64)) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 69.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#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(approx (+ (* (/ x y) (/ x (* y 8))) 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
| Outputs |
|---|
(/.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:
| 4.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
Total -34.6b remaining (-121.4%)
Threshold costs -34.6b (-121.4%)
| Inputs |
|---|
#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(approx (+ (* (/ x y) (/ x (* y 8))) 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 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 68.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | x |
| 55.5% | 1 | y |
| 55.5% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 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 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.464478348493595e+240 | 1.813612827822008e+241 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5687962124715457e+189 | 7.723691467283068e+192 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.464478348493595e+240 | 1.813612827822008e+241 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5687962124715457e+189 | 7.723691467283068e+192 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 78× | distribute-lft-neg-in_binary64 |
| 52× | unsub-neg_binary64 |
| 46× | distribute-neg-in_binary64 |
| 40× | neg-sub0_binary64 |
| 40× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 165 |
| 1 | 62 | 165 |
| 2 | 81 | 165 |
| 3 | 108 | 161 |
| 4 | 154 | 161 |
| 5 | 227 | 161 |
| 6 | 271 | 161 |
| 7 | 285 | 161 |
| 8 | 287 | 161 |
| 9 | 288 | 161 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 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 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 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 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #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 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.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 |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 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 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 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 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 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 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 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 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #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 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.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 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #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)) |
| 14 468× | lower-fma.f64 |
| 14 468× | lower-fma.f32 |
| 6 082× | lower-+.f64 |
| 6 082× | lower-+.f32 |
| 5 448× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3388 | 1926 |
| 0 | 9111 | 1817 |
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 0 | 42 | 220 |
| 0 | 73 | 182 |
| 1 | 226 | 179 |
| 2 | 1257 | 165 |
| 0 | 8251 | 165 |
| 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 |
Compiled 263 to 135 computations (48.7% saved)
Compiled 414 to 190 computations (54.1% saved)
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