
Time bar (total: 8.5s)
| 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)
| 864.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sin: 269.0ms (42.1% of total)ival-cos: 204.0ms (31.9% of total)ival-mult: 76.0ms (11.9% of total)ival-add: 43.0ms (6.7% of total)ival-sub: 38.0ms (5.9% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| 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 |
| 72.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-sub: 29.0ms (50.8% of total)ival-sin: 11.0ms (19.3% of total)ival-cos: 10.0ms (17.5% of total)ival-mult: 4.0ms (7% of total)ival-add: 3.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 56.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 35.0ms (77.4% of total)ival-cos: 6.0ms (13.3% of total)ival-mult: 2.0ms (4.4% of total)ival-sub: 1.0ms (2.2% of total)ival-add: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (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 (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (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 (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (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 (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 3 588× | lower-*.f64 |
| 3 588× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
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(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 y) x) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Compiled 7 373 to 615 computations (91.7% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 12 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 13 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 75.5% | (fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 64.7% | (-.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y))) | |
| 75.4% | (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 86.4% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 58.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 55.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 56.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ▶ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 62.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 26.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 394 to 240 computations (39.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 128 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 2 152× | lower-fma.f32 |
| 2 148× | lower-fma.f64 |
| 600× | lower-*.f32 |
| 596× | lower-*.f64 |
| 544× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 164 |
| 0 | 45 | 160 |
| 1 | 78 | 160 |
| 2 | 144 | 160 |
| 3 | 287 | 160 |
| 4 | 445 | 160 |
| 5 | 670 | 160 |
| 6 | 1057 | 160 |
| 7 | 1581 | 160 |
| 8 | 2034 | 160 |
| 9 | 2206 | 160 |
| 10 | 2224 | 160 |
| 11 | 2242 | 160 |
| 12 | 2258 | 160 |
| 13 | 2267 | 160 |
| 14 | 2268 | 160 |
| 0 | 2268 | 158 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 28.421401510946204 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (cos.f64 y) x) | |
| accuracy | 15.524007895625946 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 27.938930581006982 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 23.799275914488188 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0078125 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.02734375 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 49.0ms | 256× | 0 | valid |
Compiled 144 to 23 computations (84% saved)
ival-cos: 8.0ms (23.9% of total)ival-add: 6.0ms (17.9% of total)ival-mult: 6.0ms (17.9% of total)ival-sin: 6.0ms (17.9% of total)ival-div: 3.0ms (9% of total)ival-sub: 2.0ms (6% of total)ival-neg: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 2.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
| 9 820× | lower-fma.f64 |
| 9 820× | lower-fma.f32 |
| 4 952× | lower-+.f64 |
| 4 952× | lower-+.f32 |
| 4 662× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 4398 |
| 1 | 1057 | 4232 |
| 2 | 3225 | 4132 |
| 0 | 8534 | 4013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
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))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ (cos y) (* -1 (* z (sin y))))) |
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (sin.f64 y) z)) (+.f64 (cos.f64 y) x) (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 z z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (sin.f64 y) z)) (+.f64 (cos.f64 y) x) (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 x z)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 x z)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 x z)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z) |
(* -1 (* z (sin y))) |
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(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))))) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))) x)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
| 4 506× | lower-fma.f32 |
| 4 502× | lower-fma.f64 |
| 4 060× | lower-*.f32 |
| 4 056× | lower-*.f64 |
| 3 988× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 134 |
| 0 | 45 | 130 |
| 1 | 195 | 130 |
| 2 | 1617 | 130 |
| 0 | 8137 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (/.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 z z) (neg.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.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 z z)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 (sin.f64 y) z))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) |
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(pow.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) |
(fma.f64 x #s(literal 1 binary64) #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(approx (cos y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Compiled 28 371 to 2 076 computations (92.7% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 152 | 21 | 1 173 |
| Fresh | 4 | 3 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 158 | 28 | 1 186 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 62.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 63.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) | |
| 57.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 26.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 86.4% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.1% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 58.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 63.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) | |
| 89.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| ▶ | 89.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) |
| 26.2% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 55.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 29.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 62.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 12.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 21.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 749 to 446 computations (40.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) | |
| cost-diff | 704 | (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) | |
| cost-diff | 704 | (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
| 4 656× | lower-fma.f32 |
| 4 650× | lower-fma.f64 |
| 2 654× | lower-*.f32 |
| 2 648× | lower-*.f64 |
| 1 886× | lower-/.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 303 |
| 0 | 66 | 294 |
| 1 | 109 | 294 |
| 2 | 196 | 294 |
| 3 | 420 | 294 |
| 4 | 789 | 286 |
| 5 | 1263 | 286 |
| 6 | 1818 | 282 |
| 7 | 3057 | 282 |
| 8 | 4669 | 282 |
| 9 | 6601 | 282 |
| 10 | 7848 | 282 |
| 0 | 8008 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(/.f64 x z) |
x |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal -1 binary64) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(/.f64 x z) |
x |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal -1 binary64) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) | |
| accuracy | 47.258377786539775 | #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 15.524007895625946 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 31.30751850990853 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 36.00068480506552 | #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 23.799275914488188 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.67186075449463 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) | |
| accuracy | 0.01171875 | (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) | |
| accuracy | 0.11328125 | (/.f64 (cos.f64 y) z) | |
| accuracy | 7.076453300649658 | (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
| 176.0ms | 256× | 0 | valid |
Compiled 211 to 37 computations (82.5% saved)
ival-mult: 32.0ms (25% of total)const: 27.0ms (21.1% of total)ival-add: 23.0ms (17.9% of total)ival-cos: 23.0ms (17.9% of total)ival-div: 12.0ms (9.4% of total)ival-sin: 6.0ms (4.7% of total)ival-sub: 2.0ms (1.6% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) (patch (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (patch (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) (patch (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) (patch (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) (patch (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) (patch (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) (patch (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (cos y)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (patch (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (cos y)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (patch (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (cos y)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (patch (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (cos y)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (patch (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (cos y)) z) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) (patch (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 66.0ms | z | @ | inf | ((* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (+ (/ (cos y) z) (/ x z)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (- (+ (/ (cos y) z) (/ x z)) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ -1 (* (sin y) z)) (* (sin y) z) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 5.0ms | z | @ | -inf | ((* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (+ (/ (cos y) z) (/ x z)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (- (+ (/ (cos y) z) (/ x z)) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ -1 (* (sin y) z)) (* (sin y) z) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 4.0ms | y | @ | -inf | ((* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (+ (/ (cos y) z) (/ x z)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (- (+ (/ (cos y) z) (/ x z)) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ -1 (* (sin y) z)) (* (sin y) z) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 3.0ms | y | @ | inf | ((* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (+ (/ (cos y) z) (/ x z)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (- (+ (/ (cos y) z) (/ x z)) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ -1 (* (sin y) z)) (* (sin y) z) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 2.0ms | z | @ | 0 | ((* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (+ (/ (cos y) z) (/ x z)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (- (+ (/ (cos y) z) (/ x z)) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/ -1 (* (sin y) z)) (* (sin y) z) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 1× | egg-herbie |
| 12 076× | lower-fma.f64 |
| 12 076× | lower-fma.f32 |
| 5 842× | lower-*.f64 |
| 5 842× | lower-*.f32 |
| 4 584× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 5985 |
| 1 | 1223 | 5851 |
| 2 | 3577 | 5660 |
| 0 | 8436 | 5503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
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(/ 1 x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 y) z) z)) (+.f64 (cos.f64 y) x) (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 z z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 y) z) z)) (+.f64 (cos.f64 y) x) (+.f64 (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
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(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))) x)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))) x)) x) #s(literal 1 binary64)) x) |
| 5 162× | lower-fma.f32 |
| 5 156× | lower-fma.f64 |
| 4 156× | lower-/.f32 |
| 4 144× | lower-/.f64 |
| 3 722× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 275 |
| 0 | 66 | 266 |
| 1 | 299 | 266 |
| 2 | 2337 | 266 |
| 0 | 8630 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(/.f64 (cos.f64 y) z) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) (sin.f64 y)) z) |
(*.f64 z (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) z) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) z) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (cos.f64 y) z) z) (*.f64 (/.f64 (cos.f64 y) z) z) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z) (*.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) z) (*.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x))) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x))) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (cos.f64 y) z)) (*.f64 z (/.f64 (cos.f64 y) z)) (-.f64 (*.f64 (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))) (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))) (*.f64 (*.f64 z (/.f64 (cos.f64 y) z)) (*.f64 z (-.f64 (/.f64 x z) (sin.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y))) |
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(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y)) |
Compiled 19 562 to 1 707 computations (91.3% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 894 | 15 | 909 |
| Fresh | 5 | 14 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 900 | 37 | 937 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) | |
| 57.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 26.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 26.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) | |
| ✓ | 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 26.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
| 12.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) | |
| 11.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 86.4% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.1% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 58.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 63.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| 50.4% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 26.2% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 52.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) | |
| 64.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 (+.f64 (cos.f64 y) x) z)) z)) | |
| 32.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) | |
| 51.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) | |
| ▶ | 99.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
| 55.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 29.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ▶ | 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ✓ | 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ▶ | 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 44.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 62.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| ▶ | 12.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| ▶ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 21.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 121 to 617 computations (45% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) | |
| cost-diff | 896 | (fma.f64 (/.f64 (cos.f64 y) x) x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) | |
| cost-diff | 576 | (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
| 8 088× | lower-fma.f32 |
| 8 074× | lower-fma.f64 |
| 3 196× | lower-*.f32 |
| 3 188× | lower-*.f64 |
| 2 856× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 425 |
| 0 | 92 | 420 |
| 1 | 170 | 414 |
| 2 | 312 | 405 |
| 3 | 652 | 405 |
| 4 | 1430 | 394 |
| 5 | 2432 | 394 |
| 6 | 4513 | 394 |
| 7 | 7522 | 394 |
| 0 | 8532 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
#s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) y z) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
#s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) y (neg.f64 z))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) y z) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (+ (cos y) x) (+.f64 (cos.f64 y) x))) |
#s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
#s(approx (+ (cos y) x) (+.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(+.f64 (cos.f64 y) x) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 (cos.f64 y) x) x x) | |
| accuracy | 0.1484375 | (/.f64 (cos.f64 y) x) | |
| accuracy | 15.524007895625946 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) | |
| accuracy | 3.558579300811441 | (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) | |
| accuracy | 27.938930581006982 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 29.644173448363755 | (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) | |
| accuracy | 0.02734375 | (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 15.524007895625946 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 31.30751850990853 | #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 31.88303581513787 | #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 27.938930581006982 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 49.82023790276179 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0 | #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| accuracy | 0.09375 | (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) | |
| accuracy | 0.11328125 | (/.f64 (cos.f64 y) z) |
| 103.0ms | 256× | 0 | valid |
Compiled 268 to 53 computations (80.2% saved)
ival-mult: 28.0ms (34.1% of total)ival-add: 17.0ms (20.7% of total)ival-div: 10.0ms (12.2% of total)ival-cos: 8.0ms (9.7% of total)ival-sin: 7.0ms (8.5% of total)const: 6.0ms (7.3% of total)ival-sub: 4.0ms (4.9% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (cos.f64 y) x) x x) (patch (fma.f64 (/.f64 (cos.f64 y) x) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (patch #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (patch #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (- (/ (cos y) z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) y) (+ 1 x)) (+ (* 1/4 (* y y)) (* (neg z) z)) (+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (/ (cos y) x) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (+ (* -1/2 y) z))) |
| 9.0ms | z | @ | 0 | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (- (/ (cos y) z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) y) (+ 1 x)) (+ (* 1/4 (* y y)) (* (neg z) z)) (+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (/ (cos y) x) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (+ (* -1/2 y) z))) |
| 3.0ms | y | @ | -inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (- (/ (cos y) z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) y) (+ 1 x)) (+ (* 1/4 (* y y)) (* (neg z) z)) (+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (/ (cos y) x) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (+ (* -1/2 y) z))) |
| 3.0ms | z | @ | inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (- (/ (cos y) z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) y) (+ 1 x)) (+ (* 1/4 (* y y)) (* (neg z) z)) (+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (/ (cos y) x) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (+ (* -1/2 y) z))) |
| 3.0ms | z | @ | -inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (- (/ (cos y) z) (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* 1/4 (* y y)) (* (neg z) z)) (/ 1 (+ (* -1/2 y) z))) y) (+ 1 x)) (+ (* 1/4 (* y y)) (* (neg z) z)) (+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (/ (cos y) x) (/ (cos y) z) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (+ (* -1/2 y) z))) |
| 1× | egg-herbie |
| 10 510× | lower-fma.f64 |
| 10 510× | lower-fma.f32 |
| 4 662× | lower-*.f64 |
| 4 662× | lower-*.f32 |
| 3 488× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 5937 |
| 1 | 1189 | 5750 |
| 2 | 3127 | 5432 |
| 0 | 8071 | 5167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (cos y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* 1/4 (pow y 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ -2 y) |
(- (* -4 (/ z (pow y 2))) (* 2 (/ 1 y))) |
(- (* z (- (* -8 (/ z (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* z (- (* z (- (* -16 (/ z (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ x z))) (* 1/2 (/ (pow y 2) z)))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ x z))) (* 1/2 (/ (pow y 2) z)))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ x z))) (* 1/2 (/ (pow y 2) z)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ y z))) z) |
(/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow z 2)))) (* -1/2 (/ y z))) z) |
(/ (- (+ 1 (* 1/8 (/ (pow y 3) (pow z 3)))) (+ (* -1/2 (/ y z)) (* -1/4 (/ (pow y 2) (pow z 2))))) z) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z))))) |
(* -1 (* z (+ y (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z))))) |
(* -1 (* z (+ y (* -1 (/ (- (+ 1 x) (* 1/2 (pow y 2))) z))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow y 2) z)) (* -1/2 y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow y 3) z)) (* 1/4 (pow y 2))) z)) (* -1/2 y)) z)) 1) z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(/ 1 z) |
(+ (* -1 y) (/ 1 z)) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
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))) |
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))) |
(* -1 z) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(/ 1 z) |
(+ (* 1/2 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* 1/4 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ (* y (+ (* y (+ (* 1/8 (/ y (pow z 4))) (* 1/4 (/ 1 (pow z 3))))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (pow y 2))) (+ 1/2 (/ z y)))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(/ -2 y) |
(/ (- (* -4 (/ z y)) 2) y) |
(/ (- (* -8 (/ (pow z 2) (pow y 2))) (+ 2 (* 4 (/ z y)))) y) |
(/ (- (* -16 (/ (pow z 3) (pow y 3))) (+ 2 (+ (* 4 (/ z y)) (* 8 (/ (pow z 2) (pow y 2)))))) y) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(/ -2 y) |
(* -1 (/ (+ 2 (* 4 (/ z y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow z 2) y)) (* 4 z)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 3) y)) (* -8 (pow z 2))) y)) (* 4 z)) y))) y)) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(* 1/4 (pow y 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
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(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (+.f64 #s(literal 1 binary64) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 1 binary64))) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) x)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
| 4 254× | lower-fma.f32 |
| 4 240× | lower-fma.f64 |
| 3 814× | lower-/.f32 |
| 3 808× | lower-/.f64 |
| 3 728× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 382 |
| 0 | 92 | 371 |
| 1 | 419 | 342 |
| 2 | 3635 | 339 |
| 0 | 8783 | 330 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
#s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
(/.f64 (cos.f64 y) x) |
(/.f64 (cos.f64 y) z) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 x z)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 x z))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z (neg.f64 x)))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) x) |
(+.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
#s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
(*.f64 (-.f64 (/.f64 (+.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))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(pow.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 (/.f64 (+.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)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.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))))))) (neg.f64 (neg.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (+.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)))))) (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (+.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)))))) (neg.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(/.f64 (-.f64 (/.f64 (+.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))))) (-.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(/.f64 (-.f64 (/.f64 (+.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))))) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 (/.f64 (+.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)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 (/.f64 (+.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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y) (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (cos.f64 y) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z)) |
(+.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 z y)) |
(*.f64 (neg.f64 z) y) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(neg.f64 (*.f64 z y)) |
(-.f64 #s(literal 0 binary64) (*.f64 z y)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
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(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z)) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y)) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64)) (*.f64 (*.f64 z z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) (-.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) y))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y z) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) y z))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y z))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) y z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal -1 binary64))) |
Compiled 21 745 to 1 561 computations (92.8% saved)
43 alts after pruning (33 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 016 | 12 | 1 028 |
| Fresh | 3 | 21 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 022 | 43 | 1 065 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) | |
| 57.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 26.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 26.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) | |
| ✓ | 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 26.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
| 12.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) | |
| 11.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 57.1% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 58.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 63.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) | |
| 26.2% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 32.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) | |
| 51.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) | |
| 64.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (/.f64 (-.f64 (/.f64 (+.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))))) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) z x))) | |
| 75.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) z x))) | |
| 62.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) | |
| 63.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) | |
| 67.5% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) | |
| 55.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 29.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 47.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ✓ | 44.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ✓ | 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 45.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| 44.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 43.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) | |
| ✓ | 62.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 3.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) | |
| 5.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| ✓ | 12.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| ✓ | 75.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
| 75.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) x x))) | |
| 62.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 21.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 609 to 593 computations (63.1% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 (+.f64 (cos.f64 y) x) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) 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 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 (/.f64 (-.f64 (/.f64 (+.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))))) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) z x))) |
(-.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (cos.f64 y) x) (sin.f64 y)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 20.0ms | z |
| 18.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | x |
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 (+.f64 (cos.f64 y) x) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 14.0ms | y |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 88.3% | 2 | y |
| 99.4% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) |
3 calls:
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | x |
| 94.7% | 3 | z |
| 99.1% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
3 calls:
| 11.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | y |
| 86.4% | 3 | z |
| 75.7% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 11.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | y |
| 83.0% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 12.0ms | x |
| 10.0ms | z |
| 10.0ms | y |
| 9.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 4 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 70.1% | 3 | z |
| 75.3% | 3 | x |
| 72.5% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 #s(approx (+ (* 1/4 (* y y)) (* (neg z) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
3 calls:
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 3 | y |
| 70.5% | 3 | x |
| 65.5% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (+ (cos y) x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 #s(approx (- (+ (/ (cos y) z) (/ x z)) (sin y)) (/.f64 x z)) z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.5% | 2 | z |
| 62.8% | 1 | x |
| 62.8% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 62.8% | 1 | z |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.9% | 1 | x |
| 21.9% | 1 | y |
| 21.9% | 1 | z |
| 21.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9996554221240338 | 1.0 |
| 0.0ms | -40396390665.76058 | -0.9776610256987508 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.203081777264136 | 2619291868.9579906 |
| 0.0ms | -40396390665.76058 | -0.9776610256987508 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.508153727024008e+151 | 3.779982725026806e+155 |
| 14.0ms | -4.2976470349889776e+105 | -1.0555594193809587e+105 |
| 21.0ms | 224× | 0 | valid |
Compiled 281 to 196 computations (30.2% saved)
ival-cos: 5.0ms (31.3% of total)ival-sin: 5.0ms (31.3% of total)ival-sub: 3.0ms (18.8% of total)ival-mult: 2.0ms (12.5% of total)ival-add: 1.0ms (6.3% 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 |
|---|---|---|
| 23.0ms | 54347132.51213531 | 4740598759428849000.0 |
| 14.0ms | -0.026252530040749424 | -1.351146258842585e-5 |
| 26.0ms | 288× | 0 | valid |
Compiled 537 to 356 computations (33.7% saved)
ival-cos: 7.0ms (38.7% of total)ival-sin: 6.0ms (33.2% of total)ival-add: 2.0ms (11.1% of total)ival-mult: 2.0ms (11.1% of total)ival-sub: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.21976234815556e+151 | 4.907918087255078e+153 |
| 0.0ms | 0.9996554221240338 | 1.0 |
| 0.0ms | -40396390665.76058 | -0.9776610256987508 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.3911769110502844e+25 | 3.4938899557215515e+25 |
| 22.0ms | -3.7009140813123526e+34 | -5.971092511131844e+26 |
| 27.0ms | 224× | 0 | valid |
Compiled 432 to 285 computations (34% saved)
ival-cos: 8.0ms (37.2% of total)ival-sin: 8.0ms (37.2% of total)ival-sub: 2.0ms (9.3% of total)ival-add: 2.0ms (9.3% of total)ival-mult: 2.0ms (9.3% 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 |
|---|---|---|
| 27.0ms | 2.1102814275624323e+21 | 1.3911769110502844e+25 |
| 21.0ms | -55142191686.59675 | -3311.6139291620057 |
| 38.0ms | 272× | 0 | valid |
Compiled 446 to 294 computations (34.1% saved)
ival-add: 10.0ms (32.1% of total)ival-cos: 9.0ms (28.9% of total)ival-sin: 9.0ms (28.9% of total)ival-mult: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% 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 |
|---|---|---|
| 16.0ms | 8.770202759645477e-20 | 2.0016447544424086e-9 |
| 8.0ms | -0.026252530040749424 | -1.351146258842585e-5 |
| 16.0ms | 240× | 0 | valid |
Compiled 465 to 284 computations (38.9% saved)
ival-add: 2.0ms (20.2% of total)ival-cos: 2.0ms (20.2% of total)ival-mult: 2.0ms (20.2% of total)ival-sin: 2.0ms (20.2% of total)ival-sub: 1.0ms (10.1% 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 |
|---|---|---|
| 1.0ms | 8.770202759645477e-20 | 2.0016447544424086e-9 |
| 1.0ms | -0.026252530040749424 | -1.351146258842585e-5 |
Compiled 375 to 266 computations (29.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.770202759645477e-20 | 2.0016447544424086e-9 |
| 1.0ms | -0.026252530040749424 | -1.351146258842585e-5 |
Compiled 357 to 248 computations (30.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -9.71945901918994e+188 | -1.3243359707829185e+178 |
| 14.0ms | 160× | 0 | valid |
Compiled 195 to 134 computations (31.3% saved)
ival-cos: 4.0ms (40.9% of total)ival-sin: 3.0ms (30.7% of total)ival-sub: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-mult: 1.0ms (10.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | +-commutative_binary64 |
| 24× | *-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 802 |
| 1 | 158 | 802 |
| 2 | 181 | 802 |
| 3 | 190 | 802 |
| 4 | 193 | 802 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))) |
(if (<=.f64 z #s(literal -4200000000000000199017958141443679279773794822893009045416936667498916658794919902010438662267173563531264 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 549999999999999990549835981283966360639201719548682137730602686615732152134258519407922979909018518568772709217042151333455650191563889071830257876598784 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -2824657686286775/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 55000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 14000000000000000838860800 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 2400000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -40000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) #s(approx (* (- (+ (/ (cos y) z) (/ x z)) (sin y)) z) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))) |
(if (<=.f64 z #s(literal -4200000000000000199017958141443679279773794822893009045416936667498916658794919902010438662267173563531264 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 549999999999999990549835981283966360639201719548682137730602686615732152134258519407922979909018518568772709217042151333455650191563889071830257876598784 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -2824657686286775/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 55000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -40000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 9004095573153389/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 14000000000000000838860800 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 2400000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x x))))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -7493989779944505/288230376151711744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 z #s(literal -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 12 076× | lower-fma.f64 |
| 12 076× | lower-fma.f32 |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 10 510× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 5937 |
| 1 | 1189 | 5750 |
| 2 | 3127 | 5432 |
| 0 | 8071 | 5167 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 0 | 414 | 5985 |
| 1 | 1223 | 5851 |
| 2 | 3577 | 5660 |
| 0 | 8436 | 5503 |
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 0 | 351 | 4398 |
| 1 | 1057 | 4232 |
| 2 | 3225 | 4132 |
| 0 | 8534 | 4013 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 743 to 324 computations (56.4% saved)
Compiled 812 to 186 computations (77.1% saved)
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