
Time bar (total: 9.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 793.0ms | 8 253× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
ival-cos: 260.0ms (44% of total)ival-sin: 172.0ms (29.1% of total)ival-mult: 59.0ms (10% of total)ival-add: 47.0ms (8% of total)ival-sub: 43.0ms (7.3% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 76.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-sin: 36.0ms (60.5% of total)ival-cos: 14.0ms (23.5% of total)ival-mult: 4.0ms (6.7% of total)ival-add: 3.0ms (5% of total)ival-sub: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 200× | lower-fma.f64 |
| 200× | lower-fma.f32 |
| 179× | sub-neg |
| 176× | cancel-sign-sub-inv |
| 151× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 200× | lower-fma.f64 |
| 200× | lower-fma.f32 |
| 80× | lower-*.f32 |
| 79× | lower-*.f64 |
| 60× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.015625 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (38.7% of total)ival-sin: 5.0ms (32.2% of total)ival-mult: 2.0ms (12.9% of total)ival-sub: 1.0ms (6.4% of total)ival-add: 1.0ms (6.4% 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)) |
| 1.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 5 373× | lower-fma.f64 |
| 5 373× | lower-fma.f32 |
| 1 794× | lower-*.f64 |
| 1 794× | lower-*.f32 |
| 1 012× | 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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(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 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #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 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #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 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) z) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) z) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
| 2 310× | lower-*.f32 |
| 2 309× | lower-*.f64 |
| 2 274× | lower-fma.f64 |
| 2 274× | lower-fma.f32 |
| 1 209× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
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(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 y) x) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Compiled 7 373 to 622 computations (91.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 14 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 14 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.1% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 71.0% | (fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) | |
| 37.8% | (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 78.1% | (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| ▶ | 86.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 60.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 65.6% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) | |
| ▶ | 99.7% | (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
| 55.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) | |
| 60.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 70.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) | |
| ▶ | 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 31.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 53.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
Compiled 554 to 322 computations (41.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) | |
| cost-diff | 128 | (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) | |
| cost-diff | 320 | (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) | |
| cost-diff | 27776 | (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
| 8 686× | lower-fma.f32 |
| 8 679× | lower-fma.f64 |
| 2 645× | lower-*.f32 |
| 2 639× | lower-*.f64 |
| 855× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 303 |
| 0 | 80 | 323 |
| 1 | 153 | 315 |
| 2 | 374 | 279 |
| 3 | 1408 | 279 |
| 4 | 4720 | 279 |
| 0 | 8323 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
(+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) z (cos.f64 y)) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
x |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
(+.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
(neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) |
y |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(-.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) |
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
x |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(neg.f64 z) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
(neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y z) y (-.f64 #s(literal -1 binary64) x)) |
y |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y z) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(-.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) (fma.f64 x x #s(literal -1/2 binary64))) |
(*.f64 x x) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 0.33537894791877515 | (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 13.933484002655609 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 28.606384619808228 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 29.643345190141456 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 27.558954892125872 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.04296875 | (fma.f64 (sin.f64 y) z (cos.f64 y)) | |
| accuracy | 0.04296875 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) | |
| accuracy | 0.19140625 | (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) |
| 127.0ms | 256× | 0 | valid |
Compiled 301 to 44 computations (85.4% saved)
ival-add: 23.0ms (30.2% of total)ival-mult: 19.0ms (24.9% of total)ival-cos: 11.0ms (14.4% of total)ival-sin: 7.0ms (9.2% of total)ival-neg: 5.0ms (6.6% of total)ival-sub: 4.0ms (5.2% of total)const: 4.0ms (5.2% of total)ival-div: 3.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (patch (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) z (cos.f64 y)) (patch (fma.f64 (sin.f64 y) z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (cos.f64 y)) (patch (-.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) y) (patch (*.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) (patch (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/6 (* y z)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* y z)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* y z)) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | z | @ | -inf | (+ (+ (* (sin y) z) (cos y)) x) |
| 28.0ms | x | @ | inf | (+ 1 x) |
| 17.0ms | y | @ | -inf | (+ (* (/ 1 (- x (cos y))) (- (* x x) (+ (* (cos (+ y y)) 1/2) 1/2))) (* (neg z) (sin y))) |
| 2.0ms | y | @ | -inf | (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) |
| 2.0ms | y | @ | inf | (+ (* (/ 1 (- x (cos y))) (- (* x x) (+ (* (cos (+ y y)) 1/2) 1/2))) (* (neg z) (sin y))) |
| 1× | egg-herbie |
| 4 921× | lower-fma.f64 |
| 4 921× | lower-fma.f32 |
| 2 795× | lower-*.f64 |
| 2 795× | lower-*.f32 |
| 2 640× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1001 | 9159 |
| 1 | 3171 | 8763 |
| 0 | 8582 | 8258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
1 |
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) |
-1 |
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))))) |
-1 |
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
1 |
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
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(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (cos y))) (* x (- (* 1/2 (/ 1 (pow (cos y) 2))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2))))))) (* -1/2 (/ (cos (* 2 y)) (cos y)))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2))))))) (* -1/2 (/ (cos (* 2 y)) (cos y)))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* x (- (* 1/2 (/ 1 (pow (cos y) 4))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 4))) (/ 1 (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2))))))) (* -1/2 (/ (cos (* 2 y)) (cos y)))) |
x |
(* x (- (+ 1 (* -1 (/ (* z (sin y)) x))) (* -1 (/ (cos y) x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) (pow x 2))))) (* -1 (/ (cos y) x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (+ (* -1 (pow (cos y) 3)) (+ (* 1/2 (cos y)) (* 1/2 (* (cos y) (cos (* 2 y)))))) (pow x 3))))) (+ (* -1 (/ (cos y) x)) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2))))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (+ (* -1 (* z (sin y))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) x)))) (* -1 (/ (pow (cos y) 2) x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (+ (* -1 (* z (sin y))) (* -1 (/ (+ (* -1 (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (* -1 (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) x))) x)))) x)) 1))) |
(- (/ (pow x 2) (- x 1)) (/ 1 (- x 1))) |
(- (+ (* -1 (* y z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(- (+ (* y (+ (* -1 z) (* y (- (* 1/4 (/ 1 (pow (- x 1) 2))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(- (+ (* y (+ (* -1 z) (* y (- (+ (* 1/6 (* y z)) (* 1/4 (/ 1 (pow (- x 1) 2)))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))))) |
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* -1 (sin y)) (/ (pow x 2) (* z (- x (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))) |
(* z (- (+ (* -1 (sin y)) (/ (pow x 2) (* z (- x (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))) |
(* z (- (+ (* -1 (sin y)) (/ (pow x 2) (* z (- x (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z))))) |
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))))) |
(- (pow x 2) 1) |
(- (+ (pow x 2) (pow y 2)) 1) |
(- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)) 1) |
(- (+ (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2)) 1) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ -1 (cos y)) |
(- (* -1 (/ x (pow (cos y) 2))) (/ 1 (cos y))) |
(- (* x (- (* -1 (/ x (pow (cos y) 3))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y))) |
(- (* x (- (* x (- (* -1 (/ x (pow (cos y) 4))) (/ 1 (pow (cos y) 3)))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y))) |
(/ 1 x) |
(/ (+ 1 (/ (cos y) x)) x) |
(/ (- (+ 1 (/ (pow (cos y) 2) (pow x 2))) (* -1 (/ (cos y) x))) x) |
(/ (- (+ 1 (/ (pow (cos y) 3) (pow x 3))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (* -1 (cos y))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (cos y) 3) x)) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1) x)) |
(/ 1 (- x 1)) |
(+ (* -1/2 (/ (pow y 2) (pow (- x 1) 2))) (/ 1 (- x 1))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* 1/720 (/ 1 (pow (- x 1) 2))) (+ (* 1/48 (/ 1 (pow (- x 1) 3))) (* 1/2 (/ (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))) (- x 1))))))) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(/ 1 (- x (cos y))) |
(* -1 (cos y)) |
(- x (cos y)) |
(- x (cos y)) |
(- x (cos y)) |
x |
(* x (+ 1 (* -1 (/ (cos y) x)))) |
(* x (+ 1 (* -1 (/ (cos y) x)))) |
(* x (+ 1 (* -1 (/ (cos y) x)))) |
x |
(* -1 (* x (- (/ (cos y) x) 1))) |
(* -1 (* x (- (/ (cos y) x) 1))) |
(* -1 (* x (- (/ (cos y) x) 1))) |
(- x 1) |
(- (+ x (* 1/2 (pow y 2))) 1) |
(- (+ x (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1) |
(- (+ x (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1) |
(- 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 x)) |
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/ 1 (+ (cos y) (* z (sin y)))) |
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
(+ 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 (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
1/2 |
(+ 1/2 (* -1/6 (* y z))) |
(+ 1/2 (* -1/6 (* y z))) |
(+ 1/2 (* -1/6 (* y z))) |
(* -1/6 (* y z)) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(* -1/6 (* y z)) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
1/2 |
(+ 1/2 (* -1/6 (* y z))) |
(+ 1/2 (* -1/6 (* y z))) |
(+ 1/2 (* -1/6 (* y z))) |
(* -1/6 (* y z)) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(* -1/6 (* y z)) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 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 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
| Outputs |
|---|
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) z (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
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(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) z (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) x (neg.f64 x))) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 #s(literal 1/2 binary64) y)) y) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 #s(literal 1/2 binary64) y)) y) |
(* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 #s(literal 1/2 binary64) y)) y) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal 1/2 binary64) z)) z) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal 1/2 binary64) z)) z) |
(* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal 1/2 binary64) z)) z) |
(* -1/6 (* y z)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal -1 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64))) y) y (neg.f64 z)) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
| 2 538× | lower-fma.f32 |
| 2 531× | lower-fma.f64 |
| 2 528× | lower-*.f32 |
| 2 522× | lower-*.f64 |
| 1 452× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 251 |
| 0 | 80 | 269 |
| 1 | 366 | 209 |
| 2 | 3383 | 209 |
| 0 | 8377 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x))) |
(+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) z (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) |
(-.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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) |
(-.f64 x (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(*.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 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (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 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) (+.f64 x (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 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)) (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (+.f64 x (cos.f64 y)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) x (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) x)) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 x (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 x (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.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) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (cos.f64 y)) |
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(+.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 x (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (+.f64 x (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) x) (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) x)) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 z y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) #s(literal 1/2 binary64)) |
(fma.f64 z (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) z) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 z y) (*.f64 z y))) (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)) |
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y))) |
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
Compiled 56 715 to 3 439 computations (93.9% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 594 | 22 | 1 616 |
| Fresh | 6 | 3 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 603 | 27 | 1 630 |
| Status | Accuracy | Program |
|---|---|---|
| 71.0% | (fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) | |
| ▶ | 40.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
| ✓ | 86.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 52.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| ▶ | 53.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 60.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 40.7% | (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) | |
| 31.3% | (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (sin y) z) (cos y)) x) (*.f64 (sin.f64 y) z))))) | |
| 88.3% | (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) #s(approx (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (/ 1 (+ (+ (* (sin y) z) (cos y)) x))) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) (-.f64 (/.f64 (cos.f64 y) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64))))) x (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (cos.f64 y))))))) | |
| 88.2% | (*.f64 #s(approx (+ (+ (* (sin y) z) (cos y)) x) (fma.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) | |
| 60.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 70.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ✓ | 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 31.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 89.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
| 54.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) | |
| 38.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) | |
| 43.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) | |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) | |
| 28.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) | |
| 40.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) | |
| ▶ | 18.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| ▶ | 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) | |
| 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
Compiled 1 109 to 581 computations (47.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) 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))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) | |
| cost-diff | 0 | #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| cost-diff | 384 | (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| 8 322× | lower-fma.f32 |
| 8 318× | lower-fma.f64 |
| 1 719× | lower-+.f32 |
| 1 715× | lower-+.f64 |
| 1 616× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 425 |
| 0 | 90 | 425 |
| 1 | 189 | 425 |
| 2 | 454 | 423 |
| 3 | 1216 | 416 |
| 4 | 3705 | 416 |
| 5 | 7166 | 416 |
| 0 | 8304 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
z |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(+.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 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
z |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) |
(*.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y) 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 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y) z)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y) z) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(fma.f64 (*.f64 (*.f64 z y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (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)) z) z) |
(*.f64 z z) |
z |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.568632996352793 | (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) | |
| accuracy | 17.393424161550428 | (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) | |
| accuracy | 21.985393352572185 | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| accuracy | 28.606384619808207 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.47387639985997404 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 4.71754296290929 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 28.606384619808207 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 31.35197239729159 | #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| accuracy | 0.280461696988371 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) | |
| accuracy | 2.330180259239071 | (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) | |
| accuracy | 29.643345190141456 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) | |
| accuracy | 31.34551720942685 | #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) | |
| accuracy | 27.558954892125872 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 30.462729439077098 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.015625 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| accuracy | 0.0703125 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| accuracy | 6.758769418088151 | (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| 89.0ms | 77× | 1 | valid |
| 69.0ms | 130× | 0 | valid |
| 59.0ms | 48× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 319 to 51 computations (84% saved)
ival-mult: 70.0ms (39.1% of total)ival-cos: 29.0ms (16.2% of total)adjust: 24.0ms (13.4% of total)ival-add: 18.0ms (10.1% of total)const: 11.0ms (6.2% of total)ival-sub: 9.0ms (5% of total)ival-div: 9.0ms (5% of total)ival-sin: 5.0ms (2.8% of total)ival-neg: 3.0ms (1.7% 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 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) (patch #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) 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 #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) (patch #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (patch (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (/ 1 z) (/ x z))) (taylor 0 y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) (taylor 0 y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) (taylor 0 y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) (taylor 0 y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor -inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor -inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor -inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor -inf y) (#s(alt (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (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))) (taylor 0 y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (* z (- (/ (+ (cos y) x) z) (sin y))) |
| 3.0ms | y | @ | 0 | (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) |
| 2.0ms | y | @ | inf | (/ (+ (cos y) x) z) |
| 2.0ms | y | @ | 0 | (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) |
| 1.0ms | x | @ | 0 | (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) |
| 1× | egg-herbie |
| 3 887× | lower-fma.f64 |
| 3 887× | lower-fma.f32 |
| 2 705× | lower-*.f64 |
| 2 705× | lower-*.f32 |
| 2 008× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 647 | 7790 |
| 1 | 2053 | 7599 |
| 2 | 6977 | 7514 |
| 0 | 8024 | 7141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(- (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) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (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))))) |
(+ 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))) |
(- (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 (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (/ 1 (pow y 3)) (/ x (pow y 3))) (+ (* -1/6 z) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (- (* 1/2 (/ 1 y)) (* 1/6 z)))) |
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x |
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x |
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(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (cos y)) 2) (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))) |
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(pow (+ x (cos y)) 2) |
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(pow (+ x (cos y)) 2) |
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(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x)))) |
(+ 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 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 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))))) |
(* (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)))))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* z (+ (/ 1 z) (/ x z))) |
(fma.f64 (/.f64 x z) z #s(literal 1 binary64)) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 (neg.f64 y) z (fma.f64 (/.f64 x z) z #s(literal 1 binary64))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (fma.f64 (/.f64 x z) z #s(literal 1 binary64))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (fma.f64 (/.f64 x z) z #s(literal 1 binary64))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 z x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 z x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 z x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(+ (/ 1 z) (/ x z)) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) y) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(fma.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z) |
(* -1 (sin y)) |
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(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y) (*.f64 z z)) (*.f64 y y)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) |
| 1 869× | lower-*.f32 |
| 1 869× | lower-fma.f32 |
| 1 865× | lower-fma.f64 |
| 1 859× | lower-*.f64 |
| 1 792× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 330 |
| 0 | 90 | 315 |
| 1 | 417 | 293 |
| 2 | 3650 | 293 |
| 0 | 8422 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (cos.f64 y) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z)) (neg.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (+.f64 x (cos.f64 y)) z) z (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 z (/.f64 (+.f64 x (cos.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(+.f64 (*.f64 (/.f64 (+.f64 x (cos.f64 y)) z) z) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(+.f64 (*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))))) |
(pow.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (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 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (/.f64 z (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (/.f64 z (fma.f64 x x (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (/.f64 z (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (/.f64 z (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)) (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (+.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) z)) |
(+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 x x (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 z (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) |
(*.f64 (neg.f64 (+.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (cos.f64 y)) z)) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 (cos.f64 y) x))) |
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(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y)) (*.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal -1/6 binary64) z)))) (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 #s(literal -1/6 binary64) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y z)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 z z) z)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 #s(literal -1/6 binary64) z)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) z) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y)) (*.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal -1/6 binary64) z))) (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 #s(literal -1/6 binary64) z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y z)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 z z) z))) (fma.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 #s(literal -1/6 binary64) z))))) |
(fma.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y z) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) z) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 #s(literal -1/6 binary64) z (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y)) |
(fma.f64 z (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 z #s(literal -1/6 binary64) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y)) |
(+.f64 (*.f64 (*.f64 z (*.f64 #s(literal 1/120 binary64) y)) y) (*.f64 #s(literal -1/6 binary64) z)) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) z) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (sin.f64 y)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) (*.f64 z (*.f64 (sin.f64 y) z))) |
(*.f64 z (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z))) |
(*.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z)) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 y)) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 z z))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 z z))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 z z)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
Compiled 34 877 to 2 633 computations (92.5% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 149 | 14 | 1 163 |
| Fresh | 10 | 10 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 162 | 28 | 1 190 |
| Status | Accuracy | Program |
|---|---|---|
| 44.2% | (/.f64 (fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 9.3% | (/.f64 #s(approx (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| ✓ | 86.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 52.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| ✓ | 53.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 53.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) | |
| 60.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 70.1% | #s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) | |
| 21.6% | #s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y)) z)) | |
| 60.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 31.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
| ▶ | 46.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
| 54.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) | |
| 43.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) | |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) | |
| 28.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) | |
| ▶ | 40.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
| ✓ | 18.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) | |
| 77.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (*.f64 z x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x))) | |
| ▶ | 78.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) | |
| 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) | |
| ▶ | 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
| 12.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
Compiled 827 to 490 computations (40.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) | |
| cost-diff | 384 | (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) | |
| cost-diff | 0 | (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) | |
| cost-diff | 384 | (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) | |
| cost-diff | 0 | #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) | |
| cost-diff | 0 | #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) | |
| cost-diff | 704 | (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) | |
| cost-diff | 1152 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
| 3 702× | lower-fma.f32 |
| 3 701× | lower-fma.f64 |
| 951× | lower-*.f32 |
| 944× | lower-*.f64 |
| 727× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 448 |
| 0 | 81 | 448 |
| 1 | 154 | 448 |
| 2 | 357 | 435 |
| 3 | 993 | 435 |
| 4 | 3807 | 415 |
| 0 | 8073 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) |
#s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) |
(neg.f64 z) |
z |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
(neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
#s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) |
z |
#s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
(*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) |
z |
(-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) |
(/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
(cos.f64 y) |
y |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)))) |
#s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) |
#s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)) |
(neg.f64 z) |
z |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
(neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
#s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64)) y))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) |
(*.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64)) y) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) z)) |
(*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) |
(*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) z) |
z |
#s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) |
#s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) #s(literal 1 binary64)))) |
(*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) #s(literal 1 binary64))) |
z |
(-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) |
(/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
(cos.f64 y) |
y |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) | |
| accuracy | 0.0703125 | (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) | |
| accuracy | 6.758769418088151 | (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) | |
| accuracy | 30.497003427563687 | #s(approx (+ (cos y) x) (cos.f64 y)) | |
| accuracy | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) | |
| accuracy | 0.0234375 | (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) | |
| accuracy | 6.758769418088151 | (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) | |
| accuracy | 27.42194375345804 | #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) | |
| accuracy | 0.397649196988371 | (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 5.228119655312899 | (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) | |
| accuracy | 29.643345190141456 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) | |
| accuracy | 38.15859729972521 | #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 29.643345190141456 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) | |
| accuracy | 46.36721607307848 | #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) | |
| accuracy | 0.109375 | (/.f64 (cos.f64 y) z) | |
| accuracy | 0.203125 | (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) | |
| accuracy | 6.177423241857649 | (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) | |
| accuracy | 7.472819018528346 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
| 84.0ms | 256× | 0 | valid |
Compiled 276 to 43 computations (84.4% saved)
ival-mult: 20.0ms (31.1% of total)ival-div: 9.0ms (14% of total)ival-add: 8.0ms (12.5% of total)ival-cos: 8.0ms (12.5% of total)ival-sin: 6.0ms (9.3% of total)const: 6.0ms (9.3% of total)ival-sub: 4.0ms (6.2% of total)ival-neg: 3.0ms (4.7% 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 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) (patch #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) (patch (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) (patch #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) (patch #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) (patch (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) (patch #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) (patch (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) (patch (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (patch (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (patch (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* z (- (/ (cos y) z) (sin y))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ (cos y) z) (sin y)))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ (cos y) z) (sin y)))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ (cos y) z) (sin y)))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) (taylor -inf z) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) 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 #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) 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 #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | 0 | (* (* (* (* y y) 1/6) y) z) |
| 2.0ms | y | @ | inf | (* (neg x) (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1)) |
| 2.0ms | y | @ | -inf | (* (neg x) (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1)) |
| 1.0ms | x | @ | 0 | (* (neg x) (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1)) |
| 1.0ms | z | @ | 0 | (* (neg x) (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1)) |
| 1× | egg-herbie |
| 9 308× | lower-fma.f64 |
| 9 308× | lower-fma.f32 |
| 2 580× | lower-*.f64 |
| 2 580× | lower-*.f32 |
| 2 335× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 8229 |
| 1 | 1139 | 7726 |
| 2 | 3440 | 7508 |
| 0 | 8383 | 7151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(* 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))))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(- (* -1 (/ (cos y) x)) 1) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(/ (* z (sin y)) x) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(/ (* z (sin y)) x) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(* -1 (+ 1 (/ 1 x))) |
(- (/ (* y z) x) (+ 1 (/ 1 x))) |
(- (* y (+ (* 1/2 (/ y x)) (/ z x))) (+ 1 (/ 1 x))) |
(- (* y (+ (* y (+ (* -1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (+ 1 (/ 1 x))) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
-1 |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
-1 |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) 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))))) |
(+ 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 (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(- (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 (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
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(+ 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) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ 1 (* x z)) |
(+ (* -1 (/ y x)) (/ 1 (* x z))) |
(+ (* y (- (* -1/2 (/ y (* x z))) (/ 1 x))) (/ 1 (* x z))) |
(+ (* y (- (* y (- (* 1/6 (/ y x)) (* 1/2 (/ 1 (* x z))))) (/ 1 x))) (/ 1 (* 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) |
(/ (- (/ (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 z)) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(* -1 (/ (sin y) x)) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(* -1 (/ (sin y) x)) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(+ (* -1 (/ (sin y) x)) (/ (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) |
(/ (- (/ (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) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 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))) |
| Outputs |
|---|
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) x (*.f64 (sin.f64 y) z))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) x (*.f64 (sin.f64 y) z))) |
(+ (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (* -1 (* z (sin y)))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) x (*.f64 (sin.f64 y) z))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (+ (sin y) (/ (* x (- (* -1 (/ (cos y) x)) 1)) z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x)))) |
(fma.f64 (neg.f64 y) z (+.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(-.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(- (* -1 (/ (cos y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x)) 1) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64)) |
(/ (* z (sin y)) x) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* z (- (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)) (/ 1 z))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(/ (* z (sin y)) x) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (cos y) x)) 1) z)) (/ (sin y) x)))) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ (* y z) x) (+ 1 (/ 1 x))) |
(fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(- (* y (+ (* 1/2 (/ y x)) (/ z x))) (+ 1 (/ 1 x))) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y z) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(- (* y (+ (* y (+ (* -1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (+ 1 (/ 1 x))) |
(fma.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y z)) x) #s(literal -1/6 binary64)) y (fma.f64 (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y z) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) |
(*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x)) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* -1 (* z (- (/ (cos y) z) (sin y))))) x) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
(fma.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)) |
(- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1) |
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(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) z) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(/ (+ 1 x) z) |
(/.f64 (+.f64 #s(literal 1 binary64) x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) z) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 (+.f64 #s(literal 1 binary64) x) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) z)) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ (+ x (cos y)) z) |
(/.f64 (+.f64 x (cos.f64 y)) z) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(+ (* -1 (/ y x)) (/ 1 (* x z))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y x)) |
(+ (* y (- (* -1/2 (/ y (* x z))) (/ 1 x))) (/ 1 (* x z))) |
(fma.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(+ (* y (- (* y (- (* 1/6 (/ y x)) (* 1/2 (/ 1 (* x z))))) (/ 1 x))) (/ 1 (* x z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (cos y) (* x z)) |
(/.f64 (cos.f64 y) (*.f64 x z)) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) z) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) z) |
(/ (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) z) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) z) |
(* -1 (/ (sin y) x)) |
(/.f64 (sin.f64 y) (neg.f64 x)) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* -1 (/ (sin y) x)) |
(/.f64 (sin.f64 y) (neg.f64 x)) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ (- (/ (cos y) z) (sin y)) x) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) x)) |
(+ 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)) |
(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))) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
| 3 215× | lower-*.f32 |
| 3 208× | lower-*.f64 |
| 2 171× | lower-fma.f32 |
| 2 170× | lower-fma.f64 |
| 1 925× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 407 |
| 0 | 81 | 407 |
| 1 | 329 | 407 |
| 2 | 2884 | 399 |
| 0 | 9171 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) |
#s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
(neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
#s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) |
#s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))) |
(*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
(-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) |
(/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(/.f64 (cos.f64 y) z) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) x)) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) (neg.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) (neg.f64 (neg.f64 x)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (*.f64 (neg.f64 z) #s(literal -1 binary64))) x (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) (neg.f64 x) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z))) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (*.f64 (neg.f64 z) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 z) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) x)) |
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z))) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) (neg.f64 z)) (neg.f64 (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (*.f64 (neg.f64 z) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64)) |
(fma.f64 z (neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) z)) |
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) (neg.f64 z) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
(*.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))))) |
(neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y))) |
#s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y)) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) |
(*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 (*.f64 y z) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) z) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y z)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y z))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) z)) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 (fma.f64 z x z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) x)) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -2 binary64)) (+.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z)) |
(+.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 #s(approx (+ (cos y) x) (cos.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (+ (cos y) x) (cos.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z)) |
(pow.f64 (/.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (cos y) x) (cos.f64 y)))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(approx (+ (cos y) x) (cos.f64 y)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 #s(approx (+ (cos y) x) (cos.f64 y))) (neg.f64 z)) |
(/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (cos y) x) (cos.f64 y))) z)) |
(neg.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (cos y) x) (cos.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (/.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (/.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (*.f64 x (sin.f64 y))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
(/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))) |
(fma.f64 (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (sin.f64 y) x))) |
(fma.f64 (cos.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x) (neg.f64 (/.f64 (sin.f64 y) x))) |
(-.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (/.f64 (sin.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (neg.f64 (/.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y)))) |
(/.f64 (cos.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z)) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) y)) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
Compiled 16 420 to 1 163 computations (92.9% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 008 | 16 | 1 024 |
| Fresh | 3 | 16 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 014 | 38 | 1 052 |
| Status | Accuracy | Program |
|---|---|---|
| 44.2% | (/.f64 (fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 9.3% | (/.f64 #s(approx (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| ✓ | 86.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 52.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| ✓ | 53.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 53.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) | |
| 60.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 70.1% | #s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) | |
| 21.6% | #s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y)) z)) | |
| 60.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 31.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ✓ | 60.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
| 31.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) | |
| 33.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) | |
| 21.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) | |
| 46.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) | |
| 21.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) | |
| 18.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) | |
| 43.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) | |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) | |
| 28.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) | |
| 12.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) | |
| 20.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) | |
| 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) | |
| ✓ | 40.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
| ✓ | 18.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 46.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) | |
| 58.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (sin.f64 y) (neg.f64 x))) #s(literal -1 binary64))))) | |
| 60.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (cos.f64 y) (*.f64 x z))) #s(literal -1 binary64))))) | |
| 51.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) | |
| 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) | |
| 19.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (*.f64 (/.f64 (sin.f64 y) x) z))))) | |
| 45.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 12.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) | |
| 12.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
Compiled 1 711 to 606 computations (64.6% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#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))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (*.f64 (/.f64 (sin.f64 y) x) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (sin.f64 y) (neg.f64 x))) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (cos.f64 y) (*.f64 x z))) #s(literal -1 binary64))))) |
(-.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 z (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
#s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (*.f64 z x) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal -1 binary64))))) |
(/.f64 #s(approx (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (sin y) z) (cos y)) x) (*.f64 (sin.f64 y) z))))) |
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
(*.f64 #s(approx (+ (+ (* (sin y) z) (cos y)) x) (fma.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))) |
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) #s(approx (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (/ 1 (+ (+ (* (sin y) z) (cos y)) x))) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) (-.f64 (/.f64 (cos.f64 y) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64))))) x (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (cos.f64 y))))))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 221.0ms | z |
| 50.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 29.0ms | x |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#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))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (*.f64 (/.f64 (sin.f64 y) x) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (sin.f64 y) (neg.f64 x))) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) #s(approx (/ (- (/ (cos y) z) (sin y)) x) (/.f64 (cos.f64 y) (*.f64 x z))) #s(literal -1 binary64))))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 26.0ms | x |
| 21.0ms | z |
| 14.0ms | y |
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 86.5% | 1 | y |
| 99.6% | 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 (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#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 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 18.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | z |
| 12.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | y |
| 70.1% | 1 | x |
| 73.6% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 87.6% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z z) (- 1/2 (* (cos (+ y y)) 1/2)))) (+ (* z (sin y)) (+ (cos y) x))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
2 calls:
| 12.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | y |
| 79.5% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (fma.f64 (/.f64 z x) y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z x) z) (*.f64 z (/.f64 z x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 z z)) (/.f64 (-.f64 x #s(literal 1 binary64)) z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z)) (*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y z) (fma.f64 (fma.f64 (*.f64 z #s(literal -1/6 binary64)) y #s(literal 1/2 binary64)) y (neg.f64 z))))) (-.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 223.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | x |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 3 | x |
| 60.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 66.4% | 3 | z |
| 67.5% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (+.f64 #s(literal 1 binary64) x) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (*.f64 (neg.f64 x) #s(approx (+ (* (neg z) (/ (- (/ (cos y) z) (sin y)) x)) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (*.f64 (fma.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (+ (* (* -1/6 y) z) 1/2) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) y z) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 (fma.f64 z x z) (*.f64 z z))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 77.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y #s(approx (+ (* (+ (* (* -1/6 y) z) 1/2) y) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (/ (+ (cos y) x) z) (sin y)) #s(approx (+ (/ 1 z) (/ x z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (/ (+ (cos y) x) z) (sin y))) (fma.f64 (/.f64 x z) z #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.9% | 1 | x |
| 61.8% | 3 | z |
| 56.9% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x)) (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.9% | 1 | z |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
4 calls:
| 58.0ms | y |
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.9% | 1 | x |
| 18.9% | 1 | y |
| 18.9% | 1 | z |
| 18.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.9504779189023824e-6 | 0.00036940260713158086 |
| 20.0ms | -1.5763593308543584e+28 | -255835551175432.06 |
| 24.0ms | 272× | 0 | valid |
Compiled 389 to 269 computations (30.8% saved)
ival-cos: 7.0ms (41.2% of total)ival-sin: 6.0ms (35.3% of total)ival-mult: 2.0ms (11.8% of total)ival-sub: 1.0ms (5.9% of total)ival-add: 1.0ms (5.9% 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 |
|---|---|---|
| 20.0ms | 1.0494566345944492e+104 | 1.369287242059875e+120 |
| 14.0ms | -2.6346358916413835e+182 | -1.0599395022022734e+180 |
| 23.0ms | 272× | 0 | valid |
Compiled 338 to 235 computations (30.5% saved)
ival-cos: 6.0ms (36.4% of total)ival-sin: 6.0ms (36.4% of total)ival-mult: 2.0ms (12.1% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1059.684452924174 | 3462911133283.988 |
| 29.0ms | -0.0001098116838800515 | -1.2335994577170646e-12 |
| 39.0ms | 288× | 0 | valid |
Compiled 753 to 446 computations (40.8% saved)
ival-sub: 15.0ms (48.2% of total)ival-cos: 6.0ms (19.3% of total)ival-sin: 6.0ms (19.3% of total)ival-mult: 2.0ms (6.4% of total)ival-add: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1059.684452924174 | 3462911133283.988 |
| 70.0ms | -76.48996641071872 | -0.0001098116838800515 |
| 71.0ms | 208× | 0 | valid |
Compiled 519 to 356 computations (31.4% saved)
ival-cos: 56.0ms (85.8% of total)ival-sin: 6.0ms (9.2% of total)ival-sub: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% of total)ival-mult: 1.0ms (1.5% 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 |
|---|---|---|
| 80.0ms | 1.9127724051341567e+32 | 6.540820475285181e+38 |
| 23.0ms | -4231043189097730.0 | -925130.1129979505 |
| 91.0ms | 304× | 0 | valid |
Compiled 452 to 318 computations (29.6% saved)
ival-cos: 69.0ms (82.9% of total)ival-sin: 9.0ms (10.8% of total)ival-add: 2.0ms (2.4% of total)ival-mult: 2.0ms (2.4% of total)ival-sub: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.9127724051341567e+32 | 6.540820475285181e+38 |
| 17.0ms | -4231043189097730.0 | -925130.1129979505 |
| 19.0ms | 176× | 0 | valid |
Compiled 376 to 261 computations (30.6% saved)
ival-cos: 6.0ms (40.4% of total)ival-sin: 6.0ms (40.4% of total)ival-sub: 1.0ms (6.7% of total)ival-add: 1.0ms (6.7% of total)ival-mult: 1.0ms (6.7% 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 |
|---|---|---|
| 14.0ms | 3.4723120785818215e+152 | 5.921467147813363e+153 |
| 35.0ms | -2.54486065876028e+214 | -1.1610612172757729e+214 |
| 17.0ms | 192× | 0 | valid |
Compiled 243 to 158 computations (35% saved)
ival-cos: 4.0ms (33.8% of total)ival-sin: 4.0ms (33.8% of total)ival-sub: 1.0ms (8.5% of total)ival-add: 1.0ms (8.5% of total)ival-mult: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 473 |
| 1 | 146 | 473 |
| 2 | 170 | 473 |
| 3 | 183 | 473 |
| 4 | 189 | 473 |
| 5 | 190 | 473 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -260000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6640827866535439/18446744073709551616 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 -1099999999999999964104523365758427329042917057118847042672575036085120833327193164694083573430716635122713439044932710842873053007585978293958618821383725768522744014617877355167744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -3984496719921263/36893488147419103232 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1100 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -31 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 2300 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -16500000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 9399999999999999603699321738887168 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -1250000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 13500000000000000129956746780213248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -18999999999999999852057767167395118471870881904374550139573403686370289650110421675437698060798714036388600590417099893988152004299334733145622046755541453559018221481177669934032869886516564545360814250104092360704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) (if (<=.f64 z #s(literal 5800000000000000035667880107849364516287505274752764939364310757732028827642356015751666156880463193274264193724061074829318151986776685473743095371661312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -260000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6640827866535439/18446744073709551616 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 -260000000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 6640827866535439/18446744073709551616 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 z #s(literal -1099999999999999964104523365758427329042917057118847042672575036085120833327193164694083573430716635122713439044932710842873053007585978293958618821383725768522744014617877355167744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1099999999999999964104523365758427329042917057118847042672575036085120833327193164694083573430716635122713439044932710842873053007585978293958618821383725768522744014617877355167744 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -3984496719921263/36893488147419103232 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1100 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3984496719921263/36893488147419103232 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1100 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) z) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -31 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 2300 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z #s(literal 1/2 binary64)) y z) (-.f64 #s(literal -1 binary64) x)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -16500000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 9399999999999999603699321738887168 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) (neg.f64 y) (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -1250000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 13500000000000000129956746780213248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -18999999999999999852057767167395118471870881904374550139573403686370289650110421675437698060798714036388600590417099893988152004299334733145622046755541453559018221481177669934032869886516564545360814250104092360704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))) (if (<=.f64 z #s(literal 5800000000000000035667880107849364516287505274752764939364310757732028827642356015751666156880463193274264193724061074829318151986776685473743095371661312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (+ (* y (+ (* (+ (* (* -1/6 y) z) 1/2) y) z)) (- -1 x))) (*.f64 #s(approx (* (+ (* (* y y) 1/6) -1) y) (neg.f64 y)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 5 373× | lower-fma.f64 |
| 5 373× | lower-fma.f32 |
| 4 921× | lower-fma.f64 |
| 4 921× | lower-fma.f32 |
| 3 887× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1001 | 9159 |
| 1 | 3171 | 8763 |
| 0 | 8582 | 8258 |
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 0 | 647 | 7790 |
| 1 | 2053 | 7599 |
| 2 | 6977 | 7514 |
| 0 | 8024 | 7141 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 358 to 182 computations (49.2% saved)
Compiled 482 to 178 computations (63.1% saved)
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