
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 8 256× | 0 | valid |
ival-sin: 419.0ms (40.2% of total)ival-cos: 339.0ms (32.5% of total)ival-mult: 216.0ms (20.7% of total)ival-add: 59.0ms (5.7% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-cos: 12.0ms (37% of total)ival-sin: 11.0ms (33.9% of total)ival-mult: 7.0ms (21.6% of total)ival-add: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 180× | associate-*r* |
| 160× | unsub-neg |
| 142× | associate-*l* |
| 136× | distribute-lft-neg-in |
| 110× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.03125 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.13671875 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.140625 | (*.f64 x (sin.f64 y)) |
| 33.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 10.0ms (45.7% of total)ival-sin: 6.0ms (27.4% of total)ival-cos: 5.0ms (22.9% of total)ival-add: 1.0ms (4.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1× | egg-herbie |
| 14 960× | lower-fma.f64 |
| 14 960× | lower-fma.f32 |
| 4 098× | lower-*.f64 |
| 4 098× | lower-*.f32 |
| 2 688× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 626 |
| 1 | 316 | 622 |
| 2 | 937 | 612 |
| 3 | 2505 | 606 |
| 4 | 4416 | 606 |
| 5 | 7325 | 606 |
| 0 | 8407 | 556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 070× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8391 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(sin.f64 y) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
Compiled 10 057 to 551 computations (94.5% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 16 | 269 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 16 | 270 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.2% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| 53.7% | (fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 26.8% | (fma.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)) (*.f64 z (cos.f64 y))) | |
| 99.8% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) | |
| 52.8% | (fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| 43.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 33.4% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 43.2% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| ▶ | 43.2% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
| 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 51.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) | |
| ▶ | 53.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 60.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 39.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
Compiled 898 to 432 computations (51.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 20608 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| cost-diff | 6400 | (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 13 044× | lower-fma.f32 |
| 13 038× | lower-fma.f64 |
| 3 270× | lower-*.f32 |
| 3 252× | lower-*.f64 |
| 1 296× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 396 |
| 0 | 63 | 386 |
| 1 | 124 | 381 |
| 2 | 293 | 381 |
| 3 | 1033 | 381 |
| 4 | 3552 | 375 |
| 5 | 6864 | 375 |
| 0 | 8105 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z z) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z (cos.f64 (+.f64 y y)) z))) |
(*.f64 z z) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(*.f64 z z) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.477277319943701 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| accuracy | 13.824972953337076 | (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) | |
| accuracy | 15.313691703515019 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 22.460287607079167 | (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) | |
| accuracy | 1.6523334291510292 | (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) | |
| accuracy | 5.9889855359939705 | (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) | |
| accuracy | 15.313691703515019 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 28.880194455221076 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.13671875 | (*.f64 z (cos.f64 y)) | |
| accuracy | 25.080581844877297 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 30.084654627096043 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.08203125 | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) | |
| accuracy | 0.13671875 | (*.f64 z (cos.f64 y)) |
| 69.0ms | 79× | 1 | valid |
| 62.0ms | 46× | 2 | valid |
| 44.0ms | 131× | 0 | valid |
Compiled 391 to 35 computations (91% saved)
ival-cos: 31.0ms (28.3% of total)ival-mult: 25.0ms (22.8% of total)ival-sin: 19.0ms (17.3% of total)adjust: 11.0ms (10% of total)ival-add: 9.0ms (8.2% of total)ival-div: 7.0ms (6.4% of total)ival-sub: 5.0ms (4.6% of total)ival-neg: 2.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (patch (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (patch (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt z (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow x 2) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* (/ 1 (- (* x (sin y)) (* z (cos y)))) (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) |
| 3.0ms | x | @ | inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) |
| 2.0ms | z | @ | inf | (/ (* x x) (- (* x (sin y)) (* z (cos y)))) |
| 2.0ms | z | @ | 0 | (/ (* z z) (- (* x (sin y)) (* z (cos y)))) |
| 2.0ms | z | @ | inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) |
| 1× | egg-herbie |
| 7 068× | lower-*.f64 |
| 7 068× | lower-*.f32 |
| 6 858× | lower-fma.f64 |
| 6 858× | lower-fma.f32 |
| 3 530× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1113 | 10561 |
| 1 | 4032 | 10383 |
| 0 | 8693 | 9827 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
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(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))) |
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x))))) |
z |
(+ z (* x y)) |
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(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
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(- 1/2 (* 1/2 (cos (* 2 y)))) |
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(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
1 |
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(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
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(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
(* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2))))))) |
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(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
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(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
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(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) |
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ (pow z 2) (* x (sin y))) |
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))) |
(* -1 (/ z (cos y))) |
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y)))) |
(* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))))) |
(* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))) |
(* -1 (/ z (cos y))) |
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))))) |
(* -1 (/ z (cos y))) |
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2)))) |
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2))))) |
(+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2))))) |
(/ (pow z 2) (* x (sin y))) |
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x) |
(/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/ (pow z 2) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(/ x (sin y)) |
(* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2))))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))))) |
(/ x (sin y)) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(* -1 (/ (pow x 2) z)) |
(+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ x (sin y)) |
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* x y) |
(*.f64 x y) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
z |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (*.f64 x (/.f64 y z)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (*.f64 x (/.f64 y z)) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (*.f64 x (/.f64 y z)) z) |
z |
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z |
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1 |
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z |
(- (* x y) (* -1 z)) |
(fma.f64 x y z) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
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(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x)) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(* -1 (/ (pow x 2) z)) |
(neg.f64 (/.f64 (*.f64 x x) z)) |
(+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) |
(neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 y (*.f64 z z)) (/.f64 (*.f64 x x) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(fma.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 x x) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(fma.f64 y (-.f64 (*.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z))))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 x x) z))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) |
(fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (sin.f64 y))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/.f64 (*.f64 x x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) (neg.f64 z)) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/.f64 (*.f64 x x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z)) |
| 6 826× | lower-fma.f32 |
| 6 820× | lower-fma.f64 |
| 4 436× | lower-/.f32 |
| 4 430× | lower-/.f64 |
| 3 878× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 232 |
| 0 | 63 | 164 |
| 1 | 236 | 132 |
| 2 | 1892 | 132 |
| 0 | 8211 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
| Outputs |
|---|
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) |
(+.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
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(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 (sin.f64 y) x))) |
(*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.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 y y))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (-.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 y y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 z z))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 z (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z)) |
(/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 z z) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z z)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 z z)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 z z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) z) |
(*.f64 (neg.f64 (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 x (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) x)) |
(/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) x) |
(*.f64 (neg.f64 (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
Compiled 84 407 to 3 156 computations (96.3% saved)
34 alts after pruning (31 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 665 | 31 | 1 696 |
| Fresh | 11 | 0 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 678 | 34 | 1 712 |
| Status | Accuracy | Program |
|---|---|---|
| 70.0% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z))) | |
| 69.1% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 (/.f64 z (cos.f64 y))))))) | |
| 48.4% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z))))) | |
| 49.9% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 75.6% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| 42.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 54.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 43.2% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 30.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) | |
| 37.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) | |
| 60.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 25.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))) | |
| ▶ | 60.4% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
| 51.9% | #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) | |
| 51.6% | #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) | |
| 93.1% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 88.6% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| ▶ | 39.8% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| ✓ | 53.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 22.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) | |
| ▶ | 52.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
| ✓ | 60.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 36.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 51.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) | |
| 42.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| ▶ | 17.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
Compiled 1 347 to 754 computations (44% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) | |
| cost-diff | 7104 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 13 094× | lower-fma.f32 |
| 13 088× | lower-fma.f64 |
| 4 064× | lower-*.f32 |
| 4 054× | lower-*.f64 |
| 1 848× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 226 |
| 0 | 67 | 214 |
| 1 | 125 | 214 |
| 2 | 239 | 214 |
| 3 | 622 | 208 |
| 4 | 1984 | 206 |
| 5 | 4553 | 196 |
| 6 | 7932 | 196 |
| 0 | 8425 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
z |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) |
#s(literal 1/2 binary64) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(/.f64 #s(literal 1/2 binary64) (cos.f64 y)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y x z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64))) z))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64))) z)) |
z |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
#s(literal 1/2 binary64) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(/.f64 #s(literal 1/2 binary64) (cos.f64 y)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) | |
| accuracy | 0.16015625 | (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) | |
| accuracy | 0.5299922680738173 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) | |
| accuracy | 25.080581844877297 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.140625 | (*.f64 x (sin.f64 y)) | |
| accuracy | 38.49513528460727 | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 0.228229882300769 | (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) | |
| accuracy | 30.084654627096043 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 30.084654627096043 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 31.398786852745328 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0703125 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 y) x) |
| 90.0ms | 64× | 1 | valid |
| 66.0ms | 192× | 0 | valid |
Compiled 192 to 43 computations (77.6% saved)
ival-cos: 34.0ms (25.2% of total)adjust: 29.0ms (21.5% of total)ival-mult: 27.0ms (20% of total)ival-div: 16.0ms (11.9% of total)ival-sin: 13.0ms (9.6% of total)ival-add: 12.0ms (8.9% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 x y)) (patch #s(approx (+ (* y x) z) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) (patch #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt z (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (patch (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -3/2 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ()) |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | z | @ | inf | (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) |
| 25.0ms | z | @ | -inf | (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) |
| 6.0ms | y | @ | -inf | (/ 1 (+ (* y x) z)) |
| 2.0ms | z | @ | 0 | (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) |
| 1.0ms | y | @ | -inf | (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) |
| 1× | egg-herbie |
| 7 904× | lower-fma.f64 |
| 7 904× | lower-fma.f32 |
| 6 962× | lower-*.f64 |
| 6 962× | lower-*.f32 |
| 2 896× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 6053 |
| 1 | 2252 | 5880 |
| 0 | 8058 | 5510 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
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(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
1 |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
(/ (cos (* -2 y)) (cos y)) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(neg.f64 (*.f64 y (-.f64 (/.f64 z (neg.f64 y)) x))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(neg.f64 (*.f64 y (-.f64 (/.f64 z (neg.f64 y)) x))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(neg.f64 (*.f64 y (-.f64 (/.f64 z (neg.f64 y)) x))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y)) |
(* x y) |
(*.f64 x y) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
z |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(* z (+ 1 (/ (* x y) z))) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
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(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(neg.f64 (*.f64 z (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (cos.f64 y)))) (neg.f64 z))) (neg.f64 z)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (fma.f64 x (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (sin.f64 y))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (neg.f64 z))) (neg.f64 z)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -3/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/ (cos (* -2 y)) (cos y)) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
| 5 616× | lower-fma.f32 |
| 5 610× | lower-fma.f64 |
| 5 070× | lower-/.f32 |
| 5 062× | lower-/.f64 |
| 4 512× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 196 |
| 0 | 67 | 184 |
| 1 | 275 | 147 |
| 2 | 1981 | 147 |
| 0 | 8299 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) z) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))))) |
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) z) |
(*.f64 (/.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 y))) |
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) |
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (*.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))) |
Compiled 27 199 to 1 840 computations (93.2% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 18 | 966 |
| Fresh | 8 | 18 | 26 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 957 | 43 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| 70.0% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z))) | |
| 48.4% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z))))) | |
| 49.9% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 75.6% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 42.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 54.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 43.2% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 30.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) | |
| 37.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) | |
| 60.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 25.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))) | |
| 60.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) | |
| ✓ | 60.4% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 38.6% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
| ▶ | 25.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) |
| ▶ | 36.7% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
| 51.6% | #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 93.1% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 88.6% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| ✓ | 39.8% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| 17.9% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 17.9% | #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) | |
| 17.9% | #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) | |
| ✓ | 53.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 22.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
| 26.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) | |
| 17.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) | |
| 29.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) | |
| 13.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) | |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 12.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) | |
| ✓ | 60.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 42.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| 51.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) | |
| ✓ | 17.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
Compiled 1 587 to 886 computations (44.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) | |
| cost-diff | 256 | (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) | |
| cost-diff | 2048 | (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) | |
| cost-diff | 0 | #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 10 072× | lower-fma.f32 |
| 10 064× | lower-fma.f64 |
| 4 066× | lower-*.f32 |
| 4 044× | lower-*.f64 |
| 1 438× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 471 |
| 0 | 91 | 463 |
| 1 | 189 | 463 |
| 2 | 443 | 463 |
| 3 | 1145 | 428 |
| 4 | 2781 | 418 |
| 5 | 6359 | 418 |
| 0 | 8145 | 404 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) |
z |
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(*.f64 y y) |
y |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
z |
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 y #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) |
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 z z) |
z |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(-.f64 z (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) |
x |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) |
z |
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(*.f64 y y) |
y |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
z |
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 y #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) |
(fma.f64 y x z) |
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (-.f64 z (*.f64 y x)) (fma.f64 y x z)) |
(*.f64 z z) |
z |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(-.f64 z (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) |
x |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) | |
| accuracy | 14.762635605758696 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) | |
| accuracy | 15.313691703515016 | (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 38.49513528460727 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| accuracy | 3.199202236641647 | (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) | |
| accuracy | 13.832862911253473 | (*.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 30.084654627096043 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) | |
| accuracy | 34.0789966299074 | (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) | |
| accuracy | 0.37109375 | (*.f64 y #s(literal 1/24 binary64)) | |
| accuracy | 4.739124464661099 | (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 25.080581844877297 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) | |
| accuracy | 30.69721647322095 | #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) | |
| accuracy | 0.13671875 | (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) | |
| accuracy | 25.080581844877297 | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) | |
| accuracy | 28.31523449778689 | #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 109.0ms | 68× | 2 | valid |
| 76.0ms | 131× | 0 | valid |
| 32.0ms | 39× | 1 | valid |
| 29.0ms | 18× | 3 | valid |
Compiled 384 to 56 computations (85.4% saved)
ival-cos: 72.0ms (34.4% of total)ival-mult: 41.0ms (19.6% of total)adjust: 20.0ms (9.6% of total)ival-div: 20.0ms (9.6% of total)ival-sub: 20.0ms (9.6% of total)ival-add: 15.0ms (7.2% of total)ival-sin: 14.0ms (6.7% of total)const: 4.0ms (1.9% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) (patch #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) (patch (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) (patch (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (patch (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/24 binary64)) (patch (*.f64 y #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* z (+ (* y (* y 1/24)) -1/2)) |
| 1.0ms | x | @ | 0 | (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) |
| 1.0ms | z | @ | 0 | (+ (* (* y y) (* z (+ (* y (* y 1/24)) -1/2))) z) |
| 1.0ms | y | @ | inf | (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) |
| 1.0ms | y | @ | -inf | (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) |
| 1× | egg-herbie |
| 8 316× | lower-fma.f64 |
| 8 316× | lower-fma.f32 |
| 7 300× | lower-*.f64 |
| 7 300× | lower-*.f32 |
| 3 250× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 696 | 12093 |
| 1 | 2420 | 11612 |
| 0 | 8242 | 10956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
(* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2))))))) |
(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))))))) |
(* x (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))) |
(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
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(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
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(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
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(* -1 (* (pow x 2) (pow y 2))) |
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(- (pow z 2) (* (pow x 2) (pow y 2))) |
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(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(pow z 2) |
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(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(pow z 2) |
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(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(pow z 2) |
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(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
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(* -1 (* (pow x 2) (pow y 2))) |
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(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
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(* x (sin y)) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
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z |
(+ z (* x y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
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(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
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(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
(* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2))))))) |
(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))))))) |
(* x (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))) |
(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(* x y) |
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x))))) |
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x))))) |
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x))))) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* -1/2 z) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* 1/24 y) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 z (/.f64 (cos.f64 y) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))))) z) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) z)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) (neg.f64 (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 x (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (sin.f64 y) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))) (/.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
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(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))) |
(* 1/24 (* (pow y 2) z)) |
(*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* 1/24 y) |
(*.f64 y #s(literal 1/24 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
| 5 870× | lower-fma.f32 |
| 5 862× | lower-fma.f64 |
| 4 800× | lower-*.f32 |
| 4 778× | lower-*.f64 |
| 4 698× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 422 |
| 0 | 91 | 414 |
| 1 | 383 | 275 |
| 2 | 2998 | 275 |
| 0 | 9900 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(*.f64 y y) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) |
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
(*.f64 z z) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(*.f64 y #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.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 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.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 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.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 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.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 y #s(literal -2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.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 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (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 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 (fma.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 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) |
(+.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))))) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) |
(fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/24 binary64)) z) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) z) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) (*.f64 y z) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z (*.f64 y #s(literal 1/24 binary64))) y (*.f64 z #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) z) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) z)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) z)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(*.f64 (*.f64 x (*.f64 y y)) x) |
(*.f64 (*.f64 (*.f64 y x) x) y) |
Compiled 40 453 to 2 242 computations (94.5% saved)
49 alts after pruning (39 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 196 | 23 | 1 219 |
| Fresh | 15 | 16 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 213 | 49 | 1 262 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z))))) | |
| 49.9% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 75.6% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 51.9% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 51.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) | |
| 60.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) | |
| 39.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) | |
| 42.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 30.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) | |
| 51.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) | |
| 93.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 88.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 37.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) | |
| 60.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 25.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))) | |
| 60.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) | |
| ✓ | 60.4% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 38.6% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
| 25.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))) | |
| 25.5% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 17.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) | |
| ✓ | 36.7% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) | |
| 36.3% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 17.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) | |
| 17.9% | #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) | |
| ✓ | 39.8% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| 17.9% | #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) | |
| 39.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) | |
| ✓ | 53.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 23.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) | |
| ✓ | 22.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
| 10.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) | |
| 19.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) | |
| 9.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) | |
| 17.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) | |
| 29.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) | |
| 13.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) | |
| ✓ | 60.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) | |
| 42.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| 51.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) | |
| ✓ | 17.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 2 440 to 782 computations (68% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.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 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 (/.f64 z (cos.f64 y))))))) |
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z))) |
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
4 calls:
| 29.0ms | z |
| 27.0ms | y |
| 27.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 25.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
4 calls:
| 17.0ms | z |
| 17.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | y |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
4 calls:
| 25.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.0ms | z |
| 15.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | x |
| 82.6% | 4 | y |
| 88.2% | 3 | z |
| 75.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
3 calls:
| 15.0ms | x |
| 14.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 6 | y |
| 77.2% | 3 | x |
| 76.0% | 5 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
3 calls:
| 15.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 3 | x |
| 53.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 73.8% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x))))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 14.0ms | x |
| 14.0ms | z |
| 14.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 53.0% | 1 | x |
| 53.0% | 1 | z |
| 53.0% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 3.0ms | z |
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 1 | z |
| 42.9% | 2 | x |
| 38.6% | 1 | y |
| 38.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.8% | 1 | y |
| 17.8% | 1 | z |
| 17.8% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.148690956701021e+35 | 5.687158243620966e+44 |
| 18.0ms | -1.413259783988794e+68 | -1.2339331286479441e+61 |
| 25.0ms | 288× | 0 | valid |
Compiled 393 to 266 computations (32.3% saved)
ival-sin: 8.0ms (43.4% of total)ival-cos: 5.0ms (27.1% of total)ival-mult: 4.0ms (21.7% of total)ival-add: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.694063993078634e+245 | 1.5433640535419933e+247 |
| 17.0ms | 5.852033962628426e+86 | 8.816617161816984e+88 |
| 10.0ms | 5.740226510200034e-5 | 0.0005601324711536484 |
| 11.0ms | -0.1106933055515089 | -0.0009156571932688285 |
| 15.0ms | -3.08288609779251e+218 | -2.0854726339386116e+217 |
| 50.0ms | 528× | 0 | valid |
Compiled 739 to 475 computations (35.7% saved)
ival-sin: 16.0ms (42.4% of total)ival-cos: 11.0ms (29.1% of total)ival-mult: 7.0ms (18.5% of total)ival-add: 2.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6963.453559250493 | 32074.877261993322 |
| 15.0ms | -252345010879.4485 | -21874961662.622513 |
| 23.0ms | 192× | 0 | valid |
Compiled 351 to 218 computations (37.9% saved)
ival-sin: 8.0ms (44.6% of total)ival-cos: 7.0ms (39% of total)ival-mult: 2.0ms (11.1% of total)ival-add: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.648150139870523e+147 | 4.156073245750452e+149 |
| 18.0ms | 112× | 0 | valid |
Compiled 141 to 91 computations (35.5% saved)
ival-mult: 10.0ms (64.4% of total)ival-sin: 3.0ms (19.3% of total)ival-cos: 2.0ms (12.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 308 |
| 1 | 75 | 308 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -149999999999999999544308758090902235335976598899487192876318720 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 149999999999999991258606410644134081593344 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))) |
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -149999999999999999544308758090902235335976598899487192876318720 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 149999999999999991258606410644134081593344 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))) |
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))) |
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 14 960× | lower-fma.f64 |
| 14 960× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 7 068× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1113 | 10561 |
| 1 | 4032 | 10383 |
| 0 | 8693 | 9827 |
| 0 | 96 | 626 |
| 1 | 316 | 622 |
| 2 | 937 | 612 |
| 3 | 2505 | 606 |
| 4 | 4416 | 606 |
| 5 | 7325 | 606 |
| 0 | 8407 | 556 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8391 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 335 to 153 computations (54.3% saved)
Compiled 348 to 118 computations (66.1% saved)
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