
Time bar (total: 9.3s)
| 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)
| 911.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sin: 259.0ms (37.6% of total)ival-cos: 238.0ms (34.6% of total)ival-add: 74.0ms (10.8% of total)ival-mult: 59.0ms (8.6% of total)ival-sub: 48.0ms (7% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.6% 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 |
| 53.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-cos: 16.0ms (42.8% of total)ival-sin: 13.0ms (34.8% of total)ival-mult: 4.0ms (10.7% of total)ival-add: 3.0ms (8% of total)ival-sub: 2.0ms (5.4% 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))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) 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))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
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 | 0.13671875 | (*.f64 z (sin.f64 y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 12.0ms (50% of total)ival-cos: 8.0ms (33.3% of total)ival-mult: 2.0ms (8.3% of total)ival-sub: 1.0ms (4.2% of total)ival-add: 1.0ms (4.2% 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 (- (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 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 (+.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 (+ 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 (- (+ 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)) (* 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 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 (* -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 (* -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 (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 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 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>) () ())) ()) |
#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 (+ 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 (+ 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 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (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 (* 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 (* 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 (* 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 (* 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 (* 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>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (* z (sin y)) |
| 0.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (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 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 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))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) 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))) |
(+.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) 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) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) 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) |
(+ 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
| 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 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (+.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)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
Compiled 7 373 to 616 computations (91.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 12 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 268 | 12 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 80.9% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) | |
| 48.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64))) | |
| 75.6% | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| ▶ | 85.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 53.8% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.8% | (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) | |
| ▶ | 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ▶ | 77.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 45.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
Compiled 476 to 258 computations (45.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.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 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) | |
| 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))) |
| 2 216× | lower-fma.f32 |
| 2 214× | lower-fma.f64 |
| 616× | lower-*.f32 |
| 612× | lower-*.f64 |
| 560× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 146 |
| 0 | 39 | 146 |
| 1 | 64 | 146 |
| 2 | 107 | 146 |
| 3 | 197 | 146 |
| 4 | 311 | 146 |
| 5 | 498 | 146 |
| 6 | 864 | 146 |
| 7 | 1402 | 146 |
| 8 | 1967 | 146 |
| 9 | 2194 | 146 |
| 10 | 2252 | 146 |
| 11 | 2252 | 146 |
| 0 | 2252 | 144 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x (-.f64 #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 |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 (neg.f64 y)) #s(approx (+ x (cos y)) (cos.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.13671875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 32.40114108112859 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (cos.f64 y) x) | |
| accuracy | 14.538541257389811 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 34.163793174942285 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) | |
| 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 | 0.13671875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 35.19046814710297 | #s(approx (cos y) #s(literal 1 binary64)) |
| 55.0ms | 256× | 0 | valid |
Compiled 117 to 18 computations (84.6% saved)
ival-sub: 18.0ms (44.7% of total)ival-cos: 6.0ms (14.9% of total)ival-sin: 6.0ms (14.9% of total)ival-add: 5.0ms (12.4% of total)ival-mult: 5.0ms (12.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (patch (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (cos y) (* z (sin y))) (taylor 0 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 (cos y)) (* z (sin y))) (taylor 0 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 (cos y)) (* z (sin y))) (taylor 0 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 (cos y)) (* z (sin y))) (taylor 0 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 (+.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 (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) 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 (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) 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 (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) 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 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 (+ 1 x) (taylor 0 y) (#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 (* y z)))) (taylor 0 y) (#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 (* y (- (* -1/2 y) z)))) (taylor 0 y) (#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 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#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 (cos y)) (* z (sin y))) (taylor inf y) (#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 (cos y)) (* z (sin y))) (taylor inf y) (#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 (cos y)) (* z (sin y))) (taylor inf y) (#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 (cos y)) (* z (sin y))) (taylor inf y) (#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 (cos y)) (* z (sin y))) (taylor -inf y) (#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 (cos y)) (* z (sin y))) (taylor -inf y) (#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 (cos y)) (* z (sin y))) (taylor -inf y) (#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 (cos y)) (* z (sin y))) (taylor -inf y) (#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 (cos y)) (taylor 0 z) (#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 (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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>) () ())) ()) |
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#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | inf | (* y -1/2) |
| 0.0ms | z | @ | inf | (+ (* y (- (* y -1/2) z)) (+ x 1)) |
| 0.0ms | y | @ | inf | (+ (* y (- (* y -1/2) z)) (+ x 1)) |
| 0.0ms | z | @ | 0 | (+ (* y (- (* y -1/2) z)) (+ x 1)) |
| 1× | egg-herbie |
| 14 646× | lower-fma.f64 |
| 14 646× | lower-fma.f32 |
| 4 590× | lower-*.f64 |
| 4 590× | lower-*.f32 |
| 2 554× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2771 |
| 1 | 476 | 2745 |
| 2 | 1321 | 2733 |
| 3 | 3922 | 2657 |
| 0 | 8406 | 2539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 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))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin 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))) |
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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 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)) |
(* -1/2 (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 (+ 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)) |
(* 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 (* 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 (- (* -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)))) |
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 |
(* -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))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -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 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 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 |
(* 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos 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 |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 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)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
1 |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 x (cos.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 x (cos.f64 y)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
| 4 906× | lower-fma.f32 |
| 4 904× | lower-fma.f64 |
| 4 482× | lower-/.f64 |
| 4 482× | lower-/.f32 |
| 4 090× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 118 |
| 0 | 39 | 118 |
| 1 | 161 | 118 |
| 2 | 1429 | 118 |
| 0 | 8244 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
| Outputs |
|---|
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #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))))) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #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 #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))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #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 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.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)))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #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 #s(literal 1 binary64) (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)))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (-.f64 (*.f64 #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)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y)))))) (-.f64 (*.f64 (+.f64 x #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))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #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))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #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))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
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#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) |
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(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
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(fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
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(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) (/.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y))) (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y))) (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (cos y)) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) #s(approx (+ x (cos y)) (cos.f64 y)))))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
Compiled 16 937 to 1 163 computations (93.1% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 788 | 23 | 811 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 793 | 30 | 823 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.3% | (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
| 34.4% | (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) | |
| ✓ | 85.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 42.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) | |
| ▶ | 43.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| 47.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) | |
| ✓ | 53.8% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.8% | (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) | |
| 29.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) | |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) | |
| 20.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) | |
| 40.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 54.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))) | |
| 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ✓ | 77.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 39.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 39.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 31.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) | |
| ▶ | 40.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
| ▶ | 31.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 21.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) | |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| 5.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) | |
| 31.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 18.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
Compiled 1 136 to 595 computations (47.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) | |
| cost-diff | 3328 | (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) | |
| 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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 1408 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 128 | (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) | |
| cost-diff | 192 | (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
| 12 192× | lower-fma.f32 |
| 12 180× | lower-fma.f64 |
| 3 298× | lower-+.f32 |
| 3 290× | lower-+.f64 |
| 3 010× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 463 |
| 0 | 92 | 456 |
| 1 | 188 | 449 |
| 2 | 490 | 410 |
| 3 | 1751 | 401 |
| 4 | 4533 | 401 |
| 0 | 8178 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.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)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
(*.f64 y y) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
y |
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
z |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) #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 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.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)) #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.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) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
(*.f64 y y) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) |
(*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) |
y |
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
z |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) |
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)) |
(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06869125976844201 | (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) | |
| accuracy | 0.5880354368085041 | (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) | |
| accuracy | 34.163793174942285 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) | |
| accuracy | 37.61297133720636 | (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 5.337716676961003 | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) | |
| accuracy | 35.19046814710297 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 38.28923889290692 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) | |
| accuracy | 15.460689691937334 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) | |
| accuracy | 32.29065600981696 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| accuracy | 4.2587853384664385 | (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) | |
| accuracy | 8.477354050598745 | (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) | |
| accuracy | 10.93447204763716 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 35.19046814710297 | #s(approx (cos y) #s(literal 1 binary64)) |
| 100.0ms | 53× | 1 | valid |
| 66.0ms | 160× | 0 | valid |
| 63.0ms | 43× | 2 | valid |
Compiled 385 to 51 computations (86.8% saved)
ival-mult: 52.0ms (26.5% of total)ival-add: 47.0ms (24% of total)ival-cos: 34.0ms (17.4% of total)ival-sin: 24.0ms (12.2% of total)adjust: 14.0ms (7.1% of total)ival-sub: 8.0ms (4.1% of total)const: 8.0ms (4.1% of total)ival-div: 6.0ms (3.1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (patch (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) #<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 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) (patch #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) (patch (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) (patch (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (patch (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* -1 (* y (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* y (- (* y (- (pow z 3) (+ (* -1 (* z (+ 1/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z))))) (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) (taylor inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) (taylor inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) (taylor inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) (taylor inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) (taylor inf z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y))))) (taylor inf z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) (patch (fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (/ 1 (pow y 2)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y z)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2)) (* (pow y 2) z))) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) y)) z)) (/ 1 (pow y 2)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (* y (- (* -1/2 y) z)) 1)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 2))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 3)) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 4))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 3)))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 x)) (/ (* y (- (* -1/2 y) z)) x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2))) (/ 1 x))) (/ (* y (- (* -1/2 y) z)) x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (/ 1 x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) (pow x 3)))) (+ (/ (* y (- (* -1/2 y) z)) x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- 1 (* y (- (* -1/2 y) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) x)) (* -1 (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)))) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | z | @ | 0 | (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) |
| 4.0ms | x | @ | 0 | (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) |
| 2.0ms | y | @ | inf | (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) |
| 2.0ms | y | @ | -inf | (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) |
| 2.0ms | z | @ | inf | (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) |
| 1× | egg-herbie |
| 6 606× | lower-fma.f64 |
| 6 606× | lower-fma.f32 |
| 5 728× | lower-*.f64 |
| 5 728× | lower-*.f32 |
| 5 660× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 10325 |
| 1 | 3522 | 10013 |
| 0 | 8290 | 9454 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1 (* y (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) |
(+ 1 (+ x (* y (- (* y (- (* y (- (pow z 3) (+ (* -1 (* z (+ 1/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z))))) (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) |
(+ x (+ (cos y) (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) |
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (/ x z) (/ (pow (cos y) 2) (* (pow z 2) (sin y))))))))) (* 1/2 (/ 1 (sin y))))) |
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (/ x z) (/ (pow (cos y) 2) (* (pow z 2) (sin y))))))))))) (+ (* 1/2 (/ 1 (sin y))) (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 2)))))) |
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (pow (cos y) 2) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))) (/ (pow (cos y) 3) (pow (sin y) 2))) z)) (+ (* -1 (/ (pow (cos y) 2) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
x |
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1))) |
1 |
(+ 1 (* -1 (* (pow y 2) (+ 1 (pow z 2))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (pow z 2)))) (+ 1 (pow z 2))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (pow z 2)))))) (* -1/3 (pow z 2)))) (+ 1 (pow z 2))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(pow (cos y) 2) |
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) |
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) |
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) |
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (cos y) 2) (pow z 2))) 1/2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* y (+ z (* -1/2 y)))) |
(+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))) |
(+ (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))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos 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))) |
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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
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(* z (- (+ (* -1 y) (+ (* -1 (/ (- (pow (+ x (* -1/2 (pow y 2))) 2) 1) (* y (pow z 2)))) (+ (* 2 (/ (+ x (* -1/2 (pow y 2))) z)) (+ (/ 1 z) (/ (* (- (* -1 (/ (- (pow (+ x (* -1/2 (pow y 2))) 2) 1) y)) (* -1 (/ (* (- (+ 1 (* 2 (+ x (* -1/2 (pow y 2))))) (+ x (* -1/2 (pow y 2)))) (- (+ x (* -1/2 (pow y 2))) 1)) y))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 3))))))) (+ (* -1 (/ (* (- (+ 1 (* 2 (+ x (* -1/2 (pow y 2))))) (+ x (* -1/2 (pow y 2)))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 2)))) (+ (* -1/2 (/ (pow y 2) z)) (/ x z))))) |
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x |
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x |
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(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -1 (- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1)) (* -1 (* (- (* y (- (* -1/2 y) z)) 1) (- (+ 1 (* 2 (* y (- (* -1/2 y) z)))) (* y (- (* -1/2 y) z)))))) x)) (* 2 (* y (- (* -1/2 y) z))))) (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -1 (- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1)) (* -1 (/ (* (- (* -1 (- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1)) (* -1 (* (- (* y (- (* -1/2 y) z)) 1) (- (+ 1 (* 2 (* y (- (* -1/2 y) z)))) (* y (- (* -1/2 y) z)))))) (- (* y (- (* -1/2 y) z)) 1)) x))) (* -1 (* (- (* y (- (* -1/2 y) z)) 1) (- (+ 1 (* 2 (* y (- (* -1/2 y) z)))) (* y (- (* -1/2 y) z)))))) x)) (* 2 (* y (- (* -1/2 y) z))))) (* y (- (* -1/2 y) z))) x)) 1))) |
(- (pow x 2) 1) |
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(* 1/4 (pow y 4)) |
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(* (pow y 4) (+ 1/4 (+ (* -2 (/ (* x z) (pow y 3))) (+ (* -1 (/ x (pow y 2))) (+ (/ z y) (/ (pow z 2) (pow y 2))))))) |
(* 1/4 (pow y 4)) |
(* (pow y 4) (+ 1/4 (/ z y))) |
(* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 x) (pow z 2)) y))) y)))) |
(* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -2 (/ (* x z) y)) (+ (* -1 x) (pow z 2))) y))) y)))) |
(- (pow (+ x (* -1/2 (pow y 2))) 2) 1) |
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(- (+ (* z (+ (* -2 (* y (+ x (* -1/2 (pow y 2))))) (* (pow y 2) z))) (pow (+ x (* -1/2 (pow y 2))) 2)) 1) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (pow y 2))) |
(* (pow z 2) (- (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (+ (/ (pow (+ x (* -1/2 (pow y 2))) 2) (pow z 2)) (pow y 2))) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (+ (/ (pow (+ x (* -1/2 (pow y 2))) 2) (pow z 2)) (pow y 2))) (/ 1 (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (+ x (* -1/2 (pow y 2))) 2) 1) z)) (* 2 (* y (+ x (* -1/2 (pow y 2)))))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (- (pow (+ x (* -1/2 (pow y 2))) 2) 1) z)) (* 2 (* y (+ x (* -1/2 (pow y 2)))))) z)) (pow y 2))) |
(- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1) |
(- (+ (* 2 (* x (* y (- (* -1/2 y) z)))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) 1) |
(- (+ (* x (+ x (* 2 (* y (- (* -1/2 y) z))))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) 1) |
(- (+ (* x (+ x (* 2 (* y (- (* -1/2 y) z))))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (* y (- (* -1/2 y) z)) x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ (* y (- (* -1/2 y) z)) x)) (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) (pow x 2)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ (* y (- (* -1/2 y) z)) x)) (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) (pow x 2)))) (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (* y (- (* -1/2 y) z)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (* y (- (* -1/2 y) z))) (* -1 (/ (- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (* y (- (* -1/2 y) z))) (* -1 (/ (- (* (pow y 2) (pow (- (* -1/2 y) z) 2)) 1) x))) 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 |
(* 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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))))) |
(pow x 2) |
(+ (* -2 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -2 (* x z)) (* y (+ (* -1 x) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -2 (* x z)) (* y (+ (* -1 x) (+ (* y z) (pow z 2)))))) (pow x 2)) |
(* 1/4 (pow y 4)) |
(* (pow y 4) (+ 1/4 (/ z y))) |
(* (pow y 4) (+ 1/4 (+ (* -1 (/ x (pow y 2))) (+ (/ z y) (/ (pow z 2) (pow y 2)))))) |
(* (pow y 4) (+ 1/4 (+ (* -2 (/ (* x z) (pow y 3))) (+ (* -1 (/ x (pow y 2))) (+ (/ z y) (/ (pow z 2) (pow y 2))))))) |
(* 1/4 (pow y 4)) |
(* (pow y 4) (+ 1/4 (/ z y))) |
(* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 x) (pow z 2)) y))) y)))) |
(* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -2 (/ (* x z) y)) (+ (* -1 x) (pow z 2))) y))) y)))) |
(pow (+ x (* -1/2 (pow y 2))) 2) |
(+ (* -2 (* y (* z (+ x (* -1/2 (pow y 2)))))) (pow (+ x (* -1/2 (pow y 2))) 2)) |
(+ (* z (+ (* -2 (* y (+ x (* -1/2 (pow y 2))))) (* (pow y 2) z))) (pow (+ x (* -1/2 (pow y 2))) 2)) |
(+ (* z (+ (* -2 (* y (+ x (* -1/2 (pow y 2))))) (* (pow y 2) z))) (pow (+ x (* -1/2 (pow y 2))) 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (+ (/ (pow (+ x (* -1/2 (pow y 2))) 2) (pow z 2)) (pow y 2)))) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (+ (/ (pow (+ x (* -1/2 (pow y 2))) 2) (pow z 2)) (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -2 (/ (* y (+ x (* -1/2 (pow y 2)))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* -1/2 (pow y 2))) 2) z)) (* 2 (* y (+ x (* -1/2 (pow y 2)))))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* -1/2 (pow y 2))) 2) z)) (* 2 (* y (+ x (* -1/2 (pow y 2)))))) z)) (pow y 2))) |
(* (pow y 2) (pow (- (* -1/2 y) z) 2)) |
(+ (* 2 (* x (* y (- (* -1/2 y) z)))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) |
(+ (* x (+ x (* 2 (* y (- (* -1/2 y) z))))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) |
(+ (* x (+ x (* 2 (* y (- (* -1/2 y) z))))) (* (pow y 2) (pow (- (* -1/2 y) z) 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (* y (- (* -1/2 y) z)) x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (* y (- (* -1/2 y) z)) x)) (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (* y (- (* -1/2 y) z)) x)) (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (* y (- (* -1/2 y) z)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (* y (- (* -1/2 y) z))) (* -1 (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (* y (- (* -1/2 y) z))) (* -1 (/ (* (pow y 2) (pow (- (* -1/2 y) z) 2)) x))) x)))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ 1 (- x 1)) |
(+ (/ 1 (- x 1)) (/ (* y z) (pow (- x 1) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (- x 1) 2))) (* -1 (/ (pow z 2) (pow (- x 1) 3))))) (* -1 (/ z (pow (- x 1) 2))))) (/ 1 (- x 1))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (- x 1) 2))) (* -1 (/ (pow z 2) (pow (- x 1) 3))))) (- x 1))) (* -1/2 (/ z (pow (- x 1) 3)))))) (* 1/2 (/ 1 (pow (- x 1) 2)))) (* -1 (/ (pow z 2) (pow (- x 1) 3))))) (* -1 (/ z (pow (- x 1) 2))))) (/ 1 (- x 1))) |
(/ -2 (pow y 2)) |
(/ (- (* 4 (/ z y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 4 (- x 1)) (* 8 (pow z 2))) (pow y 2))) (+ 2 (* -4 (/ z y)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* -8 (* z (- x 1))) (* -2 (* z (+ (* 4 (- x 1)) (* 8 (pow z 2)))))) (pow y 3))) (+ 2 (+ (* -4 (/ z y)) (+ (* 4 (/ (- x 1) (pow y 2))) (* 8 (/ (pow z 2) (pow y 2))))))) (pow y 2)) |
(/ -2 (pow y 2)) |
(/ (- (* 4 (/ z y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (+ (* 4 (/ (- x 1) y)) (* 8 (/ (pow z 2) y))) (* 4 z)) y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* z (+ (* 4 (- x 1)) (* 8 (pow z 2)))) y)) (* 8 (/ (* z (- x 1)) y))) (+ (* 4 (- x 1)) (* 8 (pow z 2)))) y)) (* 4 z)) y)) 2) (pow y 2)) |
(/ 1 (- (+ x (* -1/2 (pow y 2))) 1)) |
(+ (/ 1 (- (+ x (* -1/2 (pow y 2))) 1)) (/ (* y z) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2))) |
(+ (* z (- (/ (* (pow y 2) z) (pow (- (+ x (* -1/2 (pow y 2))) 1) 3)) (* -1 (/ y (pow (- (+ x (* -1/2 (pow y 2))) 1) 2))))) (/ 1 (- (+ x (* -1/2 (pow y 2))) 1))) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (- (+ x (* -1/2 (pow y 2))) 1) 4)) (* -1 (/ (pow y 2) (pow (- (+ x (* -1/2 (pow y 2))) 1) 3))))) (* -1 (/ y (pow (- (+ x (* -1/2 (pow y 2))) 1) 2))))) (/ 1 (- (+ x (* -1/2 (pow y 2))) 1))) |
(/ -1 (* y z)) |
(/ (- (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow y 2) z))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (+ (/ 1 (* (pow y 2) z)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 2))))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (+ (/ 1 (* (pow y 2) z)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2)) (* (pow y 2) (pow z 3))))) (+ (* -1 (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z))))) z) |
(/ -1 (* y z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (/ 1 (pow y 2)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y z)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2)) (* (pow y 2) z))) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) y)) z)) (/ 1 (pow y 2)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/ 1 (- (* y (- (* -1/2 y) z)) 1)) |
(+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 2))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(+ (* x (- (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 3)) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 4))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 3)))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(/ 1 x) |
(/ (- (+ 1 (/ 1 x)) (/ (* y (- (* -1/2 y) z)) x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2))) (/ 1 x))) (/ (* y (- (* -1/2 y) z)) x)) x) |
(/ (- (+ 1 (+ (/ 1 x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) (pow x 3)))) (+ (/ (* y (- (* -1/2 y) z)) x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- 1 (* y (- (* -1/2 y) z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) x)) (* -1 (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)))) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) |
| Outputs |
|---|
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1 (* y (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
(+ 1 (+ x (* y (- (* y (- (* y (- (pow z 3) (+ (* -1 (* z (+ 1/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z))))) (+ 1/2 (+ (* -1 (pow z 2)) (pow z 2))))) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (fma.f64 z (*.f64 z z) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z z)))) (*.f64 z #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y))))) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
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x |
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x |
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1 |
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(fma.f64 y (/.f64 z (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(+ (* z (- (/ (* (pow y 2) z) (pow (- (+ x (* -1/2 (pow y 2))) 1) 3)) (* -1 (/ y (pow (- (+ x (* -1/2 (pow y 2))) 1) 2))))) (/ 1 (- (+ x (* -1/2 (pow y 2))) 1))) |
(fma.f64 z (fma.f64 (*.f64 y y) (/.f64 z (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (/.f64 y (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (- (+ x (* -1/2 (pow y 2))) 1) 4)) (* -1 (/ (pow y 2) (pow (- (+ x (* -1/2 (pow y 2))) 1) 3))))) (* -1 (/ y (pow (- (+ x (* -1/2 (pow y 2))) 1) 2))))) (/ 1 (- (+ x (* -1/2 (pow y 2))) 1))) |
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))))) (/.f64 y (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
(/ (- (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow y 2) z))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z (*.f64 y y))))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (+ (/ 1 (* (pow y 2) z)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 2))))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z (*.f64 y y)))))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (+ (/ 1 (* (pow y 2) z)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2)) (* (pow y 2) (pow z 3))))) (+ (* -1 (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z))))) z) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (neg.f64 (/.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y (*.f64 z z)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z (*.f64 y y)))))) z) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (/ 1 (pow y 2)) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) (* y z)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (pow (- (+ x (* -1/2 (pow y 2))) 1) 2)) (* (pow y 2) z))) (/ (* (- (+ 1/2 (/ 1 (pow y 2))) (/ x (pow y 2))) (- (+ x (* -1/2 (pow y 2))) 1)) y)) z)) (/ 1 (pow y 2)))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))) z)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)) |
(/ 1 (- (* y (- (* -1/2 y) z)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) |
(+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 2))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) (/.f64 x (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) |
(+ (* x (- (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 3)) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(fma.f64 x (+.f64 (/.f64 x (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* y (- (* -1/2 y) z)) 1) 4))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 3)))) (/ 1 (pow (- (* y (- (* -1/2 y) z)) 1) 2)))) (/ 1 (- (* y (- (* -1/2 y) z)) 1))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) (/.f64 x (pow.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- (+ 1 (/ 1 x)) (/ (* y (- (* -1/2 y) z)) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2))) (/ 1 x))) (/ (* y (- (* -1/2 y) z)) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (*.f64 x x)))) (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) x))) x) |
(/ (- (+ 1 (+ (/ 1 x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) (pow x 3)))) (+ (/ (* y (- (* -1/2 y) z)) x) (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (/.f64 (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (*.f64 x x)))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (- 1 (* y (- (* -1/2 y) z))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* y (- (* -1/2 y) z))) (pow (- (* y (- (* -1/2 y) z)) 1) 2)) x)) (* -1 (* (- 1 (* y (- (* -1/2 y) z))) (- (* y (- (* -1/2 y) z)) 1)))) x))) (* y (- (* -1/2 y) z))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (-.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) x)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
| 5 828× | lower-*.f32 |
| 5 806× | lower-*.f64 |
| 3 582× | lower-fma.f32 |
| 3 570× | lower-fma.f64 |
| 2 990× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 341 |
| 0 | 92 | 293 |
| 1 | 404 | 226 |
| 2 | 3471 | 226 |
| 0 | 8895 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
(*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x) |
(fma.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #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 z (sin.f64 y)))) |
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(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/6 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64)))))) |
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(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) z) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) |
(pow.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal -1 binary64))) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
Compiled 37 999 to 2 753 computations (92.8% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 092 | 17 | 1 109 |
| Fresh | 7 | 14 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 102 | 37 | 1 139 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(approx (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) | |
| 42.5% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| ✓ | 85.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 42.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) | |
| ✓ | 43.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| 47.1% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) | |
| ✓ | 53.8% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.8% | (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) | |
| 20.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) | |
| 40.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ✓ | 77.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 39.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 39.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) | |
| 18.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 24.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) | |
| ▶ | 24.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
| ▶ | 24.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
| ▶ | 25.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
| 17.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) | |
| 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) | |
| 2.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 27.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) | |
| 24.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) | |
| ▶ | 92.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| ▶ | 5.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
| 31.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 18.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 3.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) | |
| 21.2% | #s(approx (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))) |
Compiled 1 228 to 700 computations (43% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) | |
| cost-diff | 128 | (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) | |
| cost-diff | 1024 | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| 7 166× | lower-fma.f32 |
| 7 164× | lower-fma.f64 |
| 2 402× | lower-*.f32 |
| 2 390× | lower-*.f64 |
| 2 020× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 381 |
| 0 | 72 | 377 |
| 1 | 120 | 377 |
| 2 | 225 | 377 |
| 3 | 523 | 369 |
| 4 | 1293 | 369 |
| 5 | 2776 | 369 |
| 6 | 4457 | 369 |
| 7 | 7609 | 369 |
| 0 | 8166 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
y |
(neg.f64 z) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
y |
(neg.f64 z) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) |
(*.f64 #s(approx (/ 1 (+ x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (/ 1 (+ x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| accuracy | 15.460689691937334 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) | |
| accuracy | 30.685232094729542 | #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) | |
| accuracy | 0.10546875 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 15.460689691937334 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) | |
| accuracy | 31.22119345641733 | #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 15.460689691937334 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 23.23029014773971 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 30.47593872573263 | #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (*.f64 y (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 34.163793174942285 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) | |
| accuracy | 52.22441937192216 | #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) | |
| accuracy | 0.01171875 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.078125 | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) | |
| accuracy | 0.13671875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 4.992509444295904 | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| 75.0ms | 256× | 0 | valid |
Compiled 245 to 38 computations (84.5% saved)
ival-div: 13.0ms (24.3% of total)ival-mult: 11.0ms (20.5% of total)ival-add: 10.0ms (18.7% of total)ival-cos: 7.0ms (13.1% of total)ival-sin: 6.0ms (11.2% of total)ival-sub: 3.0ms (5.6% of total)ival-neg: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (patch (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) (patch #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (neg.f64 z)) (patch (*.f64 y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) (patch (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (patch (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #<representation binary64>) () ())) ()) |
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135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 6.0ms | x | @ | 0 | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 2.0ms | z | @ | 0 | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 2.0ms | y | @ | 0 | (* y (neg z)) |
| 1.0ms | y | @ | -inf | (* x (+ 1 (/ (- (cos y) (* z (sin y))) x))) |
| 1× | egg-herbie |
| 10 606× | lower-fma.f64 |
| 10 606× | lower-fma.f32 |
| 4 018× | lower-*.f64 |
| 4 018× | lower-*.f32 |
| 3 000× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 4481 |
| 1 | 697 | 4200 |
| 2 | 1869 | 4137 |
| 3 | 5292 | 4085 |
| 0 | 8263 | 3988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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 (/ 1 x))) |
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* 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 (- (+ 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 (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (cos y) x))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 (/ 1 x)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x))) |
(+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x))) |
(+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x))) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(+ 1 (/ (cos y) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x))))) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
(/ (- (+ x (cos y)) (* z (sin y))) x) |
1 |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
1 |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 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) (* 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) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x 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) (* 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) (* 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)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 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)) |
(* -1/2 (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 (+ 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)) |
(* 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 (* 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 (- (* -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)))) |
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 |
(* -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))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) 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 |
(* 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/ 1 (pow x 3)) |
(/ (+ 1 x) (pow x 3)) |
(/ (+ 1 (* x (+ 1 x))) (pow x 3)) |
(/ (+ 1 (* x (+ 1 x))) (pow x 3)) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) 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 |
(* 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 |
(* -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))) |
(+ 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)))) |
(- (+ 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)) (* 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) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* 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))) |
(* -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 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 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))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
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(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
| 6 162× | lower-*.f32 |
| 6 150× | lower-*.f64 |
| 4 782× | lower-/.f32 |
| 4 770× | lower-/.f64 |
| 3 650× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 328 |
| 0 | 72 | 328 |
| 1 | 283 | 324 |
| 2 | 2367 | 320 |
| 0 | 9779 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x)))) |
(*.f64 z (sin.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64))) x) (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (fma.f64 x (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) x) |
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) x) |
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x))) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 x)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) x) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (neg.f64 x)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x))) x) |
(/.f64 (+.f64 x (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)) (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 x))) (*.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal -1 binary64) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (/.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) (/.f64 (*.f64 z (sin.f64 y)) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64))) (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) #s(literal 1 binary64))) |
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(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
Compiled 16 498 to 1 392 computations (91.6% saved)
52 alts after pruning (45 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 26 | 973 |
| Fresh | 7 | 19 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 958 | 52 | 1 010 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(approx (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) | |
| 42.5% | (-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| ✓ | 85.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 42.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) | |
| ✓ | 43.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| 47.1% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) | |
| ✓ | 53.8% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 93.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x)) | |
| 20.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) | |
| 99.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))) | |
| 40.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 92.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) | |
| 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ✓ | 77.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 39.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 39.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 40.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) | |
| 18.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) | |
| 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 x))))) | |
| 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) | |
| 24.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) | |
| 24.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) | |
| 24.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) | |
| 17.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) | |
| 24.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) | |
| 15.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) | |
| 2.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) | |
| 2.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) | |
| 2.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) | |
| 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) | |
| 2.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 27.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) | |
| 24.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) | |
| 24.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| 2.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) | |
| 2.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) | |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 x (cos.f64 y)) (/.f64 x (*.f64 z (sin.f64 y)))))))) | |
| 77.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) (cos.f64 y)) x)))) | |
| 63.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) | |
| 92.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) | |
| 47.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) | |
| 3.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) | |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| ✓ | 5.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
| 31.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 18.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
Compiled 2 322 to 826 computations (64.4% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) (cos.f64 y)) x)))) |
(-.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 (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(approx (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
(fma.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) x) |
#s(approx (+ (* (- (* (cos y) (cos y)) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (cos y) (* z (sin y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 x (cos.f64 y)) (/.f64 x (*.f64 z (sin.f64 y)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 40.0ms | y |
| 37.0ms | x |
| 30.0ms | z |
| 30.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 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 (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) (cos.f64 y)) x)))) |
(-.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))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 43.0ms | z |
| 34.0ms | y |
| 31.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 85.9% | 1 | y |
| 99.4% | 3 | z |
| 99.3% | 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 (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) (cos.f64 y)) x)))) |
| 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))) |
2 calls:
| 73.0ms | z |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | z |
| 85.9% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
4 calls:
| 65.0ms | z |
| 64.0ms | y |
| 16.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | x |
| 80.4% | 3 | y |
| 77.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 88.7% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 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 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 67.0ms | y |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 3 | y |
| 77.3% | 1 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #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 #s(literal 1 binary64))) |
4 calls:
| 70.0ms | x |
| 65.0ms | z |
| 16.0ms | y |
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | z |
| 76.9% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 76.9% | 3 | x |
| 67.0% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos y) (* z (sin y))) #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1))) (*.f64 (*.f64 y y) (+.f64 (/.f64 z (neg.f64 y)) #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(approx (/ (+ (/ (+ -1 (/ -1 x)) x) -1) (neg x)) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (+ (* y (+ (* y -1/2) (neg z))) x) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (+ (* y (+ (* y -1/2) (neg z))) x) (+ (* y (+ (* y -1/2) (neg z))) x)) 1) (fma.f64 y (fma.f64 y (-.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 x z))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
3 calls:
| 38.0ms | y |
| 26.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 3 | y |
| 63.7% | 1 | x |
| 63.7% | 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 (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | z |
| 63.7% | 1 | y |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
4 calls:
| 5.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.5% | 1 | x |
| 18.5% | 1 | y |
| 18.5% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.5% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 1.7979476388714691e-19 | 2.7079845426282685e-17 |
| 7.0ms | -1.1447294570741692e-6 | -8.963916030488901e-7 |
| 76.0ms | 160× | 0 | valid |
Compiled 265 to 184 computations (30.6% saved)
ival-add: 62.0ms (86.4% of total)ival-cos: 4.0ms (5.6% of total)ival-sin: 4.0ms (5.6% of total)ival-sub: 1.0ms (1.4% of total)ival-mult: 1.0ms (1.4% 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 |
|---|---|---|
| 12.0ms | 2.694217433841265e-19 | 3.1190591365378068e-18 |
| 63.0ms | -11311354627.687162 | -56520151.59370094 |
| 68.0ms | 208× | 0 | valid |
Compiled 301 to 209 computations (30.6% saved)
ival-cos: 5.0ms (38.3% of total)ival-sin: 4.0ms (30.7% of total)ival-sub: 1.0ms (7.7% of total)ival-add: 1.0ms (7.7% of total)ival-mult: 1.0ms (7.7% 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 |
|---|---|---|
| 28.0ms | 4.702275233092443e+109 | 1.3803161318321139e+129 |
| 18.0ms | -3.666383558917705e+166 | -2.986489385787266e+158 |
| 34.0ms | 320× | 0 | valid |
Compiled 395 to 274 computations (30.6% saved)
ival-cos: 8.0ms (34.5% of total)ival-sin: 7.0ms (30.2% of total)ival-mult: 5.0ms (21.6% of total)ival-add: 2.0ms (8.6% of total)ival-sub: 1.0ms (4.3% 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 | 1.6947797470141517 | 2285140776.990261 |
| 12.0ms | -5.055831015863763e+23 | -1.722514138487938e+23 |
| 23.0ms | 224× | 0 | valid |
Compiled 351 to 238 computations (32.2% saved)
ival-cos: 7.0ms (39.6% of total)ival-sin: 7.0ms (39.6% of total)ival-mult: 2.0ms (11.3% of total)ival-sub: 1.0ms (5.7% of total)ival-add: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9982633836903191 | 0.9999988552705429 |
| 0.0ms | -16119691141249.496 | -839147801.8475425 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 107046404316073.8 | 236023356054704.28 |
| 23.0ms | -7.500736756345061e+40 | -2.730123474810784e+36 |
| 26.0ms | 208× | 0 | valid |
Compiled 314 to 222 computations (29.3% saved)
ival-sin: 11.0ms (52.1% of total)ival-cos: 7.0ms (33.1% of total)ival-sub: 1.0ms (4.7% of total)ival-add: 1.0ms (4.7% of total)ival-mult: 1.0ms (4.7% 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 |
|---|---|---|
| 21.0ms | 1.277891733800664e+53 | 3.0476057733979642e+57 |
| 16.0ms | -7.500736756345061e+40 | -2.730123474810784e+36 |
| 26.0ms | 240× | 0 | valid |
Compiled 319 to 222 computations (30.4% saved)
ival-cos: 8.0ms (40.8% of total)ival-sin: 7.0ms (35.7% of total)ival-mult: 2.0ms (10.2% of total)ival-sub: 1.0ms (5.1% of total)ival-add: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 16× | *-commutative_binary64 |
| 12× | cancel-sign-sub-inv_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 414 |
| 1 | 113 | 414 |
| 2 | 130 | 414 |
| 3 | 137 | 414 |
| 4 | 141 | 414 |
| 5 | 142 | 414 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -4722366482869645/4722366482869645213696 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -58000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 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 z #s(literal -27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(if (<=.f64 y #s(literal -175000000000000010485760 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #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 -10000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8998192055486251/9007199254740992 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 #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -2800000000000000059748203611379728384 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 120000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1850000000000000062245044357068824248320 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 450000000000000018217074836021386555868681763360342016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -4722366482869645/4722366482869645213696 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -58000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 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 z #s(literal -58000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(if (<=.f64 z #s(literal -27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(if (<=.f64 y #s(literal -175000000000000010485760 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -175000000000000010485760 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -10000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 x #s(approx (+ 1 (/ (- (cos y) (* z (sin y))) x)) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8998192055486251/9007199254740992 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 #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -2800000000000000059748203611379728384 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 120000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1850000000000000062245044357068824248320 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 450000000000000018217074836021386555868681763360342016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 14 646× | lower-fma.f64 |
| 14 646× | lower-fma.f32 |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 10 606× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 0 | 166 | 2771 |
| 1 | 476 | 2745 |
| 2 | 1321 | 2733 |
| 3 | 3922 | 2657 |
| 0 | 8406 | 2539 |
| 0 | 240 | 4481 |
| 1 | 697 | 4200 |
| 2 | 1869 | 4137 |
| 3 | 5292 | 4085 |
| 0 | 8263 | 3988 |
| 0 | 1105 | 10325 |
| 1 | 3522 | 10013 |
| 0 | 8290 | 9454 |
| 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 |
Compiled 400 to 194 computations (51.5% saved)
Compiled 474 to 144 computations (69.6% saved)
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